GAP (ref) - Index

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### Index

# 4.4
#% 5.7
`*` 4.13
for character tables 71.7
`+` 4.13
`-` 4.13
`-A` 3.1
`-B` 3.1
`-b` 3.1
`-D` 3.1
`-E` 3.1
`-e` 3.1
`-f` 3.1
`-g` 3.1
`-g -g` 3.1
`-h` 3.1
`-infinity` 18.2-1
`-K` 3.1
`-L` 3.1
`-l` 3.1
`-m` 3.1
`-M` 3.1
`-n` 3.1
`-O` 3.1
`-o` 3.1
`-P` 3.1
`-p` 3.1
`-q` 3.1
`-r` 3.1
`-R` 3.1
`-s` 3.1
`-T` 3.1
`-W` 3.1
`-x` 3.1
`-y` 3.1
`-z` 3.1
`/` 4.13
for character tables 71.7
`\"` 27.2
`\'` 27.2
`\0xYZ` 27.2
`\\` 27.2
`\b` 27.2
`\c` 27.2
`\r` 27.2
`\XYZ` 27.2
`^`, for class functions 72.4
`\<` 31.11-1
for associative words 37.3-2
for nonassociative words 36.2-2
for pcwords 46.2-1
for permutations 42.2-1
for two elements in a f.p. group 47.3-2
for two strings 27.6-2
`\*` 31.12-1
for pcwords 46.2-2
`\*`, for transformations 53.4
`\+` 31.12-1
`\.` 29.7-3
`\.\:\=` 29.7-3
`\/` 31.12-1
for a free group and a list of elements 47.2-1
for a free group and a list of pairs of elements 47.2-1
for a free semigroup or monoid and a list of pairs of elements 52.2-1
`\/`, for a transformation and a permutation 53.4
`\<`, for transformations 53.4
`\=` 31.11-1
for associative words 37.3-1
for nonassociative words 36.2-1
for pcwords 46.2-1
for permutations 42.2-1
`\=`, for transformations 53.4
`\=`, for two elements in a f.p. group 47.3-1
for two elements in a f.p. semigroup 52.3-1
for two strings 27.6-1
`\[\]` 21.2-1
`\[\]\:\=` 21.2-1
`\^` 31.12-1
for a field and a pair of integers 61.9-5
for a field and an integer 61.9-4
`\^`, for a positive integer and a transformation 53.4
for a transformation and a permutation 53.4
`\in`, element test for lists 21.8-1
for a collection 30.6-1
for strictly sorted lists 21.19-1
`\mod` 31.12-1
for residue class rings 14.5-1
for two pcgs 45.9-5
`\{\}` 21.3-1
`\{\}\:\=` 21.4-1
`^` 4.13
abelian number field 60.2-3
abelian number fields, CanonicalBasis 60.3
Galois group 60.4
`AbelianGroup` 50.1-3
`AbelianInvariants` 39.16-1
for a character table 71.8-5
`AbelianInvariants`, for groups 39.16-1
`AbelianInvariantsMultiplier` 39.24-3
`AbelianInvariantsNormalClosureFpGroup` 47.15-4
`AbelianInvariantsNormalClosureFpGroupRrs` 47.15-5
`AbelianInvariantsOfList` 25.2-10
`AbelianInvariantsSubgroupFpGroup` 47.15-1
`AbelianInvariantsSubgroupFpGroupMtc` 47.15-2
`AbelianInvariantsSubgroupFpGroupRrs`, for a group and a coset table 47.15-3
for two groups 47.15-3
`AbelianNumberField` 60.1-2
`AbelianSubfactorAction` 41.8-3
About GAP manual 1.
`AbsInt` 14.2-6
absolute value of an integer 14.2-6
`AbsoluteDiameter` 19.5-4
`AbsoluteIrreducibleModules` 71.15-2
`AbsolutelyIrreducibleModules` 71.15-2
`AbsoluteValue` 18.1-8
for floats 19.2-10
`AbsolutIrreducibleModules` 71.15-2
abstract word 36.1-1
`AbstractWordTietzeWord` 48.3-2
accessing, list elements 21.3
record elements 29.2
`AClosestVectorCombinationsMatFFEVecFFE` 23.6-5
`AClosestVectorCombinationsMatFFEVecFFECoords` 23.6-5
`Acos` 19.2-10
`Acosh` 19.2-10
`ActingAlgebra` 62.11-13
`ActingDomain` 41.12-3
action, by conjugation 41.2-1
`Action`, for a group, an action domain, etc. 41.7-2
for an external set 41.7-2
action, on blocks 41.2-4
on sets 41.2-4
`ActionHomomorphism`, for a group, an action domain, etc. 41.7-1
for an action image 41.7-1
for an external set 41.7-1
actions 41.2
`ActivateProfileColour` 7.8-18
`ActorOfExternalSet` 41.12-15
`Add` 21.4-2
add, an element to a set 21.19-4
`AddCoeffs` 23.4-2
`AddDictionary` 28.3-4
`AddGenerator` 48.5-1
`AddGeneratorsExtendSchreierTree` 43.11-10
addition 4.13
list and non-list 21.13-3
matrices 24.3
matrix and scalar 24.3
operation 31.12-1
rational functions 66.2
scalar and matrix 24.3
scalar and matrix list 24.3 24.3
vector and scalar 23.2
vectors 23.2
`AdditiveInverse` 31.10-9
`AdditiveInverseAttr` 31.10-9
`AdditiveInverseImmutable` 31.10-9
`AdditiveInverseMutable` 31.10-9
`AdditiveInverseOp` 31.10-9
`AdditiveInverseSameMutability` 31.10-9
`AdditiveInverseSM` 31.10-9
`AdditiveNeutralElement` 55.3-5
`AddRelator` 48.5-3
`AddRowVector` 23.4-1
`AddRule` 38.1-9
`AddRuleReduced` 38.1-10
`AddSet` 21.19-4
`AdjointAssociativeAlgebra` 64.9-2
`AdjointBasis` 62.9-5
`AdjointMatrix` 64.9-1
`AdjointModule` 62.11-19
`AffineAction` 45.14-4
`AffineActionLayer` 45.14-5
`Agemo` 39.14-2
`Algebra` 62.2-1
`AlgebraByStructureConstants` 62.4-1
`AlgebraGeneralMappingByImages` 62.10-1
`AlgebraHomomorphismByImages` 62.10-2
`AlgebraHomomorphismByImagesNC` 62.10-3
`AlgebraicExtension` 67.1-1
`AlgebraicExtensionNC` 67.1-1
`AlgebraWithOne` 62.2-2
`AlgebraWithOneGeneralMappingByImages` 62.10-4
`AlgebraWithOneHomomorphismByImages` 62.10-5
`AlgebraWithOneHomomorphismByImagesNC` 62.10-6
`AllAutomorphisms` 40.9-3
`AllBlocks` 41.11-4
`AllEndomorphisms` 40.9-3
`AllHomomorphismClasses` 40.9-2
`AllHomomorphisms` 40.9-3
`AllLibraryGroups` 50.5
`AllPrimitiveGroups` 50.5
`AllSmallNonabelianSimpleGroups` 39.15-16
`AllSubgroups` 39.19-7
`AllTransitiveGroups` 50.5
`Alpha` 75.2-1
`AlternatingGroup`, for a degree 50.1-11
for a domain 50.1-11
`and` 20.4-2
for filters 13.2 20.4-2
`ANFAutomorphism` 60.4-2
`AntiIsomorphismTransformationSemigroup` 53.7-6
antisymmetric relation 33.2-4
`AntiSymmetricParts` 72.11-3
`Append` 21.4-5
`AppendTo` 9.7-3
for streams 10.4-4
`ApplicableMethod` 7.2-1
`ApplicableMethodTypes` 7.2-1
`Apply` 21.20-10
`ApplySimpleReflection` 64.7-4
`ApproximateSuborbitsStabilizerPermGroup` 43.10-15
`ARCH_IS_MAC_OS_X` 3.4-2
`ARCH_IS_UNIX` 3.4-1
`ARCH_IS_WINDOWS` 3.4-3
`arg`, special function argument 4.23
special function argument, calling with 4.11-1
`Argument`, for complex floats 19.4-1
arithmetic operators, precedence 4.13
`ArithmeticElementCreator` 80.9-1
`Arrangements` 16.2-4
arrow notation for functions 4.23
`AsAlgebra` 62.9-7
`AsAlgebraWithOne` 62.9-8
`AsBinaryRelationOnPoints`, for a binary relation 33.3-3
for a permutation 33.3-3
for a transformation 33.3-3
`AsBlockMatrix` 24.17-1
`AscendingChain` 39.17-16
`AsDivisionRing` 58.1-9
`AsDuplicateFreeList` 21.20-5
`AsField` 58.1-9
`AsGroup` 39.2-5
`AsGroupGeneralMappingByImages` 40.1-5
`Asin` 19.2-10
`Asinh` 19.2-10
`AsInternalFFE` 59.2-6
`AsLeftIdeal` 56.2-11
`AsLeftModule` 57.1-5
`AsList` 30.3-8
`AsMagma` 35.2-10
`AsMonoid` 51.2-5
`AsPartialPerm`, for a permutation 54.4-1
for a permutation and a positive integer 54.4-1
for a permutation and a set of positive integers 54.4-1
for a transformation and a positive integer 54.4-2
for a transformation and a set of positive integer 54.4-2
`AsPermutation` 42.5-6
`AsPolynomial` 66.4-5
`AsRightIdeal` 56.2-11
`AsSemigroup` 51.1-6
`Assert` 7.5-3
`AssertionLevel` 7.5-2
`AsSet` 30.3-10
`AssignGeneratorVariables` 37.2-3
assignment, to a list 21.4
to a record 29.3
variable 4.15
`AssignNiceMonomorphismAutomorphismGroup` 40.8-1
`AssociatedPartition` 16.2-28
`AssociatedReesMatrixSemigroupOfDClass` 51.9-11
`Associates` 56.5-4
associativity 4.13
`AssocWordByLetterRep` 37.6-9
`AsSortedList` 30.3-9
`AsSSortedList` 30.3-10
`AsStruct` 31.4
`AsSubalgebra` 62.9-9
`AsSubalgebraWithOne` 62.9-10
`AsSubgroup` 39.3-4
`AsSubgroupOfWholeGroupByQuotient` 47.13-3
`AsSubmagma` 35.2-11
`AsSubmonoid` 51.2-6
`AsSubsemigroup` 51.1-7
`AsSubspace` 61.2-4
`AsSubstruct` 31.8
`AsTransformation` 53.3-1
`AsTwoSidedIdeal` 56.2-11
`AsVectorSpace` 61.2-3
at exit functions 6.7
`Atan` 19.2-10
`Atan2` 19.2-10
`Atanh` 19.2-10
`AtlasIrrationality` 18.4-6
atomic irrationalities 18.4
`AttributeValueNotSet` 13.6-3
`AugmentationIdeal` 65.1-7
`AugmentedCosetTableInWholeGroup` 47.9-1
`AugmentedCosetTableMtc` 47.9-2
`AugmentedCosetTableRrs` 47.9-3
automatic loading of GAP packages 76.2-1
automorphism group, of number fields 60.4
`AutomorphismDomain` 40.7-3
`AutomorphismGroup` 40.7-1
`AutomorphismGroup`, for groups with pcgs 45.16
`AutomorphismsOfTable` 71.9-4
autoreadable variables 76.12
\(b_N\) (irrational value) 18.4-1
backslash character 27.2
backspace character 27.2
Backtrace, GAP3 name for Where 6.4-5
`BANNER` 77.4
banner, for a GAP package 76.16
`BaseFixedSpace` 24.7-8
`BaseIntersectionIntMats` 25.1-5
`BaseIntMat` 25.1-4
`BaseMat` 24.11-1
`BaseMatDestructive` 24.11-2
`BaseOfGroup` 43.10-2
`BaseOrthogonalSpaceMat` 24.11-3
`BaseStabChain` 43.10-1
`BaseSteinitzVectors` 24.11-5
`BasicSpinRepresentationOfSymmetricGroup` 39.24-9
`BasicWreathProductOrdering` 34.4-11
`Basis` 61.5-2
`BasisNC` 61.5-2
`BasisNullspaceModN` 24.15-2
`BasisVectors` 61.6-1
`Bell` 16.1-3
`Bernoulli` 16.1-4
`BestQuoInt` 14.3-2
`BestSplittingMatrix` 71.17-5
`BetaSet` 16.2-32
`BiAlgebraModule` 62.11-6
`BiAlgebraModuleByGenerators` 62.11-3
`BibEntry` 76.3-16
bicoset 39.7-5
`BilinearFormMat` 64.6-13
binary relation 33.
`BinaryRelationByElements` 33.1-2
`BinaryRelationOnPoints` 33.3-1
`BinaryRelationOnPointsNC` 33.3-1
`BindConstant` 4.9-8
`BindGlobal` 4.9-8
`Binomial` 16.1-2
`BisectInterval` 19.5-10
blank 4.4
`BlistList` 22.2-1
`BlockMatrix` 24.17-2
`Blocks`, for a group, an action domain, etc. 41.11-1
for an external set 41.11-1
`BlocksInfo` 71.11-3
`BlownUpMat` 24.13-4
`BlownUpVector` 24.13-5
`BlowupInterval` 19.5-9
`BlowUpIsomorphism` 44.3-3
body 4.23
`BombieriNorm` 66.12-1
bound 4.8
Brauer character 72.8-1
`BrauerCharacterValue` 72.15-2
`BrauerTable`, for a character table, and a prime integer 71.3-2
for a group, and a prime integer 71.3-2
`BrauerTableOp` 71.3-2
`BravaisGroup` 44.6-11
`BravaisSubgroups` 44.6-12
`BravaisSupergroups` 44.6-13
Break loop message 6.4-4
`break` statement 4.21
browsing backwards 2.2
browsing backwards one chapter 2.2
browsing forward 2.2
browsing forward one chapter 2.2
browsing the next section browsed 2.2
browsing the previous section browsed 2.2
`BuildBitfields` 14.8-2
\(c_N\) (irrational value) 18.4-1
`CallFuncList` 5.2-1
`CallFuncListWrap` 5.2-1
`CanComputeIndex` 39.26-5
`CanComputeIsSubset` 39.26-6
`CanComputeSize` 39.26-3
`CanComputeSizeAnySubgroup` 39.26-4
candidates, for permutation characters 72.13
`CanEasilyCompareElements` 31.11-2
`CanEasilyCompareElementsFamily` 31.11-2
`CanEasilyComputePcgs` 45.2-3
`CanEasilyComputeWithIndependentGensAbelianGroup` 39.26-2
`CanEasilySortElements` 31.11-2
`CanEasilySortElementsFamily` 31.11-2
`CanEasilyTestMembership` 39.26-1
canonical basis, for matrix spaces 61.9-10
for row spaces 61.9-9
`CanonicalBasis` 61.5-3
`CanonicalGenerators` 64.6-14
`CanonicalPcElement` 45.5-9
`CanonicalPcgs` 45.8-2
`CanonicalPcgsByGeneratorsWithImages` 45.9-7
`CanonicalRepresentativeDeterminatorOfExternalSet` 41.12-14
`CanonicalRepresentativeOfExternalSet` 41.12-13
`CanonicalRightCosetElement` 39.7-3
Carmichael's lambda function 15.2-3
carriage return character 27.2
`CartanMatrix` 64.6-12
`CartanSubalgebra` 64.3-7
`Cartesian`, for a list 21.20-16
for various objects 21.20-16
`CategoriesOfObject` 13.3-2
`CategoryByName` 13.3-3
`CategoryCollections` 30.2-4
`CategoryFamily` 13.3-6
`Ceil` 19.2-10
center 35.4-4
`Center` 35.4-5
central character 72.8-17
`CentralCharacter` 72.8-17
`CentralIdempotentsOfAlgebra` 62.9-17
centraliser 35.4-4
`Centralizer`, for a class of objects in a magma 35.4-4
for a magma and a submagma 35.4-4
for a magma and an element 35.4-4
`Centralizer`, for groups with pcgs 45.16
`CentralizerInGLnZ` 44.6-8
`CentralizerModulo` 39.18-7
`CentralizerSizeLimitConsiderFunction` 45.17-2
`CentralNormalSeriesByPcgs` 45.11-8
`Centre` 35.4-5
`Centre`, for groups with pcgs 45.16
centre, of a character 72.8-11
`CentreOfCharacter` 72.8-11
`CF`, for (subfield and) conductor 60.1-1
for (subfield and) generators 60.1-1
`ChangeStabChain` 43.11-3
`Character`, for a character table and a list 72.6-3
for a group and a list 72.6-3
character tables 71.3
access to 71.3
calculate 71.3
infix operators 71.7
of groups 71.3
character value, of group element using powering operator 72.4
`CharacterDegrees`, for a character table 71.8-1
for a group 71.8-1
`Characteristic` 31.10-1
for a class function 72.4-1
characteristic polynomial, for field elements 58.3-3
`CharacteristicPolynomial` 24.13-1
`CharacteristicSubgroups` 39.19-12
`CharacterNames` 71.9-6
`CharacterParameters` 71.9-7
characters 72.
permutation 72.13
symmetrizations of 72.11-1
`CharacterTable`, for a group 71.3-1
for a string 71.3-1
for an ordinary character table 71.3-1
`CharacterTableDirectProduct` 71.20-1
`CharacterTableFactorGroup` 71.20-3
`CharacterTableIsoclinic` 71.20-4
for a Brauer table and an ordinary table 71.20-4
for a character table and one or two lists 71.20-4
`CharacterTableOfNormalSubgroup` 71.20-5
`CharacterTableRegular` 71.3-3
`CharacterTableWithSortedCharacters` 71.21-1
`CharacterTableWithSortedClasses` 71.21-3
`CharacterTableWithStoredGroup` 71.6-4
`CharacterTableWreathSymmetric` 71.20-6
`CharacterValueWreathSymmetric` 71.20-7
`CharInt` 27.8-2
`CharsFamily` 27.4-6
`CharSInt` 27.8-4
`CheckDigitISBN` 14.6-1
`CheckDigitISBN13` 14.6-1
`CheckDigitPostalMoneyOrder` 14.6-1
`CheckDigitTestFunction` 14.6-2
`CheckDigitUPC` 14.6-1
`CheckFixedPoints` 73.5-10
`CheckForHandlingByNiceBasis` 61.12-3
`CheckPermChar` 73.7-2
`ChevalleyBasis` 64.6-2
`ChiefNormalSeriesByPcgs` 45.11-16
`ChiefSeries` 39.17-1
`ChiefSeriesThrough` 39.17-2
`ChiefSeriesUnderAction` 39.17-3
Chinese remainder 14.3-9
`ChineseRem` 14.3-9
`Chomp` 27.7-21
`Cite` 76.3-17
`CIUnivPols` 66.1-5
class function 72.1-1
class function objects 72.1-1
class functions 73.5
as ring elements 72.4
class multiplication coefficient 71.12-7 71.12-8 71.12-9
`ClassElementLattice` 39.20-2
classes, real 71.9-11
`ClassesSolvableGroup` 45.17-1
`ClassFunction`, for a character table and a list 72.6-1
for a group and a list 72.6-1
`ClassFunctionSameType` 72.6-4
`ClassMultiplicationCoefficient`, for character tables 71.12-7
`ClassMultiplicationCoefficient`, for character tables 71.12-7
`ClassNames` 71.9-6
`ClassNamesTom` 70.7-5
`ClassOrbit` 71.9-12
`ClassParameters` 71.9-7
`ClassPermutation` 71.21-5
`ClassPositionsOfAgemo` 71.10-2
`ClassPositionsOfCenter`, for a character table 71.10-3
`ClassPositionsOfCentre`, for a character 72.8-12
for a character table 71.10-3
`ClassPositionsOfDerivedSubgroup` 71.10-5
`ClassPositionsOfDirectProductDecompositions` 71.10-4
`ClassPositionsOfElementaryAbelianSeries` 71.10-6
`ClassPositionsOfFittingSubgroup` 71.10-7
`ClassPositionsOfKernel` 72.8-10
`ClassPositionsOfLowerCentralSeries` 71.10-8
`ClassPositionsOfMaximalNormalSubgroups` 71.10-1
`ClassPositionsOfMinimalNormalSubgroups` 71.10-1
`ClassPositionsOfNormalClosure` 71.10-13
`ClassPositionsOfNormalSubgroup` 71.23-2
`ClassPositionsOfNormalSubgroups` 71.10-1
`ClassPositionsOfPCore` 71.10-12
`ClassPositionsOfSolvableRadical` 71.10-10
`ClassPositionsOfSupersolvableResiduum` 71.10-11
`ClassPositionsOfUpperCentralSeries` 71.10-9
`ClassRoots` 71.9-13
`ClassStructureCharTable` 71.12-8
`ClassTypesTom` 70.7-4
`CleanedTailPcElement` 45.5-11
`ClearAllBlist` 22.4-7
`ClearCacheStats` 7.8-21
`ClearProfile` 7.8-10
clone, an object 12.7
`CloseMutableBasis` 61.8-6
`CloseStream` 10.2-1
`ClosureGroup` 39.4-1
`ClosureGroupAddElm` 39.4-2
`ClosureGroupCompare` 39.4-2
`ClosureGroupDefault` 39.4-3
`ClosureGroupIntest` 39.4-2
`ClosureLeftModule` 57.2-3
`ClosureNearAdditiveGroup`, for a near-additive group and an element 55.4-1
for two near-additive groups 55.4-1
`ClosureRing`, for a ring and a ring element 56.1-8
for two rings 56.1-8
`ClosureStruct` 31.3
`ClosureSubgroup` 39.4-4
`ClosureSubgroupNC` 39.4-4
`Coboundaries` 64.12-7
`Cochain` 64.12-2
`CochainSpace` 64.12-3
cocycles 39.23
`Cocycles`, for Lie algebra module 64.12-6
Code annotations 5.7
`CodegreeOfPartialPerm` 54.3-2
`CodegreeOfPartialPermCollection` 54.3-2
`CodegreeOfPartialPermSemigroup` 54.7-2
`CodePcGroup` 46.9-2
`CodePcgs` 46.9-1
coefficient, binomial 16.1-2
`Coefficients` 61.6-3
coefficients, for cyclotomics 18.1-10
`CoefficientsAndMagmaElements` 65.2-4
`CoefficientsFamily` 66.19-3
`CoefficientsMultiadic` 14.3-8
`CoefficientsOfLaurentPolynomial` 66.13-2
`CoefficientsOfUnivariatePolynomial` 66.4-9
`CoefficientsOfUnivariateRationalFunction` 66.4-7
`CoefficientsQadic` 14.3-7
`CoefficientsRing` 66.15-3
`CoeffsCyc` 18.1-10
`CoeffsMod` 23.4-4
cohomology 39.23
`CoKernelOfAdditiveGeneralMapping` 32.10-6
`CoKernelOfMultiplicativeGeneralMapping` 32.9-6
`CollapsedMat` 73.5-16
`Collected` 21.20-3
`CollectionsFamily` 30.2-1
`ColorPrompt` 3.6-1
`Columns` 51.9-9
`Combinations` 16.2-1
`CombinatorialCollector` 46.4-2
`Comm` 31.12-3
`Comm`, for words 37.4
comments 4.4
`CommutativeDiagram` 73.5-9
`CommutatorFactorGroup` 39.18-3
`CommutatorLength` 39.12-4
for a character table 71.8-5
`CommutatorSubgroup` 39.12-2
`Compacted` 21.20-2
`CompanionMat` 24.13-6
`CompareVersionNumbers` 76.3-9
comparison, fp semigroup elements 52.3-1
operation 31.11-1
rational functions 66.3
comparisons, of booleans 20.3
of lists 21.10
`CompatibleConjugacyClasses` 71.6-5
`CompatiblePairs` 46.8-8
`ComplementClassesRepresentatives` 39.11-6
`ComplementClassesRepresentativesEA` 39.23-4
`ComplementIntMat` 25.1-6
`ComplementSystem` 39.13-5
`ComplexConjugate` 18.5-2
for a class function 72.4-2
`ComplexificationQuat`, for a matrix 62.5-2
for a vector 62.5-2
`ComponentPartialPermInt` 54.5-3
`ComponentRepsOfPartialPerm` 54.3-20
`ComponentRepsOfTransformation` 53.5-19
`ComponentsOfPartialPerm` 54.3-18
`ComponentsOfTransformation` 53.5-17
`ComponentTransformationInt` 53.4-3
`CompositionMapping` 32.2-5
`CompositionMapping`, for Frobenius automorphisms 59.4-1
`CompositionMapping2` 32.2-6
`CompositionMapping2General` 32.2-6
`CompositionMaps` 73.5-1
`CompositionOfStraightLinePrograms` 37.8-7
`CompositionSeries` 39.17-5
`CompositionSeries`, for groups with pcgs 45.16
`ComputedBrauerTables` 71.3-2
`ComputedClassFusions` 73.3-2
`ComputedIndicators` 71.12-5
`ComputedIsPSolubleCharacterTables` 71.12-3
`ComputedIsPSolvableCharacterTables` 71.12-3
`ComputedPowerMaps` 73.1-1
`ComputedPrimeBlockss` 71.11-1
`Concatenation`, for a list of lists 21.20-1
for several lists 21.20-1
concatenation, of lists 21.20
`ConcatenationOfVectors`, for IsVectorObj 26.4-5
for list of IsVectorObj 26.4-5
`Conductor`, for a collection of cyclotomics 18.1-7
for a cyclotomic 18.1-7
`ConfluentRws` 38.1-6
`Congruences`, for character tables 73.6-2
`ConjugacyClass` 39.10-1
`ConjugacyClasses`, attribute 39.10-2
for character tables 71.6-2
`ConjugacyClasses`, for groups with pcgs 45.16
for linear groups 50.3
`ConjugacyClassesByOrbits` 39.10-4
`ConjugacyClassesByRandomSearch` 39.10-3
`ConjugacyClassesMaximalSubgroups` 39.19-4
`ConjugacyClassesPerfectSubgroups` 39.20-11
`ConjugacyClassesSubgroups` 39.19-3
`ConjugacyClassSubgroups` 39.19-1
conjugate, matrix 24.3
of a word 37.4
`ConjugateDominantWeight` 64.7-6
`ConjugateDominantWeightWithWord` 64.7-6
`ConjugateGroup` 39.2-6
`Conjugates` 58.3-6
`ConjugateSubgroup` 39.3-8
`ConjugateSubgroups` 39.3-9
conjugation 41.2-1
`ConjugatorAutomorphism` 40.6-2
`ConjugatorAutomorphismNC` 40.6-2
`ConjugatorIsomorphism` 40.6-1
`ConjugatorOfConjugatorIsomorphism` 40.6-5
`ConsiderKernels` 73.6-3
`ConsiderSmallerPowerMaps` 73.6-4
`ConsiderStructureConstants` 73.3-7
`ConsiderTableAutomorphisms` 73.7-3
`ConstantTimeAccessList` 21.17-6
`ConstantTransformation` 53.2-9
constituent, of a group character 72.8-5
`ConstituentsCompositionMapping` 32.2-8
`ConstituentsOfCharacter` 72.8-8
`ConstructingFilter`, for IsVectorObj 26.4-8
`ContainedCharacters` 73.5-17
`ContainedConjugates` 39.20-7
`ContainedDecomposables` 73.5-17
`ContainedMaps` 73.5-6
`ContainedPossibleCharacters` 73.5-15
`ContainedPossibleVirtualCharacters` 73.5-15
`ContainedSpecialVectors` 73.5-15
`ContainedTom` 70.9-5
`ContainingConjugates` 39.20-8
`ContainingTom` 70.9-6
`continue` statement 4.22
`ContinuedFractionApproximationOfRoot` 15.6-2
`ContinuedFractionExpansionOfRoot` 15.6-1
convert, to a string 27.4
`ConvertToBlistRep` 22.5-1
`ConvertToCharacterTable` 71.3-5
`ConvertToCharacterTableNC` 71.3-5
`ConvertToMatrixRep`, for a list (and a field) 24.14-2
for a list (and a prime power) 24.14-2
`ConvertToMatrixRepNC`, for a list (and a field) 24.14-2
for a list (and a prime power) 24.14-2
`ConvertToRangeRep` 21.22-3
`ConvertToStringRep` 27.4-2
`ConvertToTableOfMarks` 70.6-5
`ConvertToVectorRep`, for a list (and a field) 23.3-1
for a list (and a prime power) 23.3-1
`ConvertToVectorRepNC`, for a list (and a field) 23.3-1
for a list (and a prime power) 23.3-1
`ConwayPolynomial` 59.5-1
coprime 4.13
Copy 12.7
copy, an object 12.7
`CopyListEntries` 21.4-4
`CopyOptionsDefaults` 43.11-2
`CopyStabChain` 43.11-1
`CopyToStringRep` 27.4-3
`Core` 39.11-2
`CorrespondingGeneratorsByModuloPcgs` 45.9-6
`Cos` 19.2-10
coset 39.7
`CosetDecomposition` 39.7-6
`CosetLeadersMatFFE` 23.6-6
`CosetTable` 47.6-1
`CosetTableBySubgroup` 47.6-4
`CosetTableDefaultLimit` 47.6-7
`CosetTableDefaultMaxLimit` 47.6-6
`CosetTableFromGensAndRels` 47.6-5
`CosetTableInWholeGroup` 47.8-1
`CosetTableOfFpSemigroup` 52.6-1
`CosetTableStandard` 47.7-1
`Cosh` 19.2-10
`Cot` 19.2-10
`Coth` 19.2-10
`CoverageLineByLine` 7.8-15
`CrcFile` 9.7-7
`CrcString` 27.9-6
`CrystGroupDefaultAction` 44.7-1
`Csc` 19.2-10
`Csch` 19.2-10
`CubeRoot` 19.2-10
`Cyc`, for floats 19.2-3
`Cycle` 41.9-3
`CycleFromList` 42.5-5
`CycleIndex`, for a permutation and an action domain 41.9-7
for a permutation group and an action domain 41.9-7
`CycleLength` 41.9-4
`CycleLengths` 41.9-6
`Cycles` 41.9-5
`CyclesOfTransformation` 53.5-20
`CycleStructureClass` 72.8-14
`CycleStructurePerm` 42.4-2
`CycleTransformationInt` 53.5-21
`CyclicExtensionsTom`, for a list of primes 70.9-7
for a prime 70.9-7
`CyclicGroup` 50.1-2
cyclotomic field elements 18.
cyclotomic fields, CanonicalBasis 60.3
`CyclotomicField`, for (subfield and) conductor 60.1-1
for (subfield and) generators 60.1-1
`CyclotomicPolynomial` 66.9-1
`Cyclotomics` 18.1-2
`CyclotomicsFamily` 18.1-3
\(d_N\) (irrational value) 18.4-1
Darstellungsgruppe, see EpimorphismSchurCover 39.24
data type, unknown 74.
`DataType` 13.9-2
`DayDMY` 27.10-4
`DaysInMonth` 27.10-2
`DaysInYear` 27.10-1
DEC 25.4
`DeclareAttribute` 13.5-4
`DeclareAttribute`, example 80.5
`DeclareAttribute!example` 80.8-3
`DeclareAutoPackage` 77.2
`DeclareAutoreadableVariables` 76.3-10
`DeclareCategory` 13.3-5
`DeclareCategoryCollections` 30.2-5
`DeclareConstructor` 78.2-2
`DeclareFilter` 13.8-2
`DeclareGlobalFunction` 79.10-4
`DeclareGlobalVariable` 79.10-1
`DeclareHandlingByNiceBasis` 61.12-1
`DeclareInfoClass` 7.4-2
`DeclareOperation` 78.1-5
`DeclarePackage` 77.2
`DeclarePackageAutoDocumentation` 77.2
`DeclarePackageDocumentation` 77.2
`DeclareProperty` 13.7-5
`DeclareRepresentation` 13.4-5
`DeclareRepresentation`, belongs to implementation part 79.11
example 80.6
`DeclareSynonym` 79.10-5
`DeclareSynonymAttr` 79.10-5
`DeclareUserPreference` 3.2-4
`DecodeTree` 48.10-1
decompose, a group character 72.8-5
`DecomposedFixedPointVector` 70.9-8
`DecomposeTensorProduct` 64.13-3
`Decomposition` 25.4-1
decomposition matrix 25.4
`DecompositionInt` 25.4-5
`DecompositionMatrix` 71.11-4
`Decreased` 72.10-7
`DEFAULTDISPLAYSTRING` 27.7-2
`DefaultField`, for a list of generators 58.1-4
for cyclotomics 18.1-16
for finite field elements 59.3-1
for several generators 58.1-4
`DefaultFieldByGenerators` 58.1-5
`DefaultFieldOfMatrix` 24.4-2
`DefaultFieldOfMatrixGroup` 44.2-2
`DefaultInfoHandler` 7.4-7
`DefaultRing`, for a collection 56.1-3
for finite field elements 59.3-1
for ring elements 56.1-3
`DefaultRingByGenerators` 56.1-5
`DefaultStabChainOptions` 43.8-3
`DEFAULTVIEWSTRING` 27.7-4
`DefiningPolynomial` 58.2-7
`DefiningQuotientHomomorphism` 47.13-4
`DegreeFFE`, for a FFE 59.2-1
for a matrix of FFEs 59.2-1
for a vector of FFEs 59.2-1
`DegreeIndeterminate` 66.6-1
`DegreeOfBinaryRelation` 33.2-10
`DegreeOfCharacter` 72.8-4
`DegreeOfLaurentPolynomial` 66.5-3
`DegreeOfPartialPerm` 54.3-1
`DegreeOfPartialPermCollection` 54.3-1
`DegreeOfPartialPermSemigroup` 54.7-2
`DegreeOfTransformation` 53.5-1
`DegreeOfTransformationCollection` 53.5-1
`DegreeOfTransformationSemigroup` 53.7-2
`DegreeOverPrimeField` 58.2-6
`Delta` 75.2-2
denominator, of a rational 17.2-5
`DenominatorCyc` 18.1-11
`DenominatorOfModuloPcgs` 45.9-4
`DenominatorOfRationalFunction` 66.4-3
`DenominatorRat` 17.2-5
`DenseHashTable` 28.6-1
`DenseIntKey` 28.5-1
dependencies, for a GAP package 76.11
deprecated 77.
`DepthOfPcElement` 45.5-4
`DepthOfUpperTriangularMatrix` 24.12-3
`Derangements` 16.2-14
`Derivations` 64.2-6
`Derivative` 66.6-5
`DerivedLength` 39.17-8
`DerivedSeriesOfGroup` 39.17-7
`DerivedSubgroup` 39.12-3
`DerivedSubgroupsTom` 70.9-2
`DerivedSubgroupsTomPossible` 70.9-3
`DerivedSubgroupsTomUnique` 70.9-3
`DerivedSubgroupTom` 70.9-2
`DescriptionOfRootOfUnity` 18.1-13
`Determinant` 24.4-4
determinant, integer matrix 25.3-1
determinant character 72.8-18
`DeterminantIntMat` 25.3-1
`DeterminantMat` 24.4-4
`DeterminantMatDestructive` 24.4-5
`DeterminantMatDivFree` 24.4-6
`DeterminantOfCharacter` 72.8-18
`DiagonalizeIntMat` 25.2-8
`DiagonalizeMat` 24.9-3
`DiagonalMat` 24.5-4
`DiagonalOfMat` 24.12-1
`DiagonalOfMatrix` 24.12-1
`Diameter` 19.5-4
`DictionaryByPosition` 28.3-1
`DicyclicGroup` 50.1-8
`Difference` 30.5-4
`DifferenceBlist` 22.3-3
`DihedralGenerators` 50.1-7
`DihedralGroup` 50.1-6
`Dimension` 57.3-3
`DimensionOfHighestWeightModule` 64.13-4
`DimensionOfMatrixGroup` 44.2-1
`DimensionOfVectors` 61.9-6
`DimensionsLoewyFactors` 39.17-15
`DimensionsMat` 24.4-1
`DirectoriesLibrary` 9.3-5
`DirectoriesPackageLibrary` 76.3-7
`DirectoriesPackagePrograms` 76.3-8
`DirectoriesSystemPrograms` 9.3-6
`Directory` 9.3-2
`DirectoryContents` 9.3-7
`DirectoryCurrent` 9.3-4
`DirectoryDesktop` 9.3-8
`DirectoryHome` 9.3-9
`DirectoryTemporary` 9.3-3
`DirectProduct` 49.1-1
`DirectProductFamily` 32.1-2
`DirectProductOp` 49.1-1
`DirectSum` 56.9-5
`DirectSumDecomposition`, for Lie algebras 62.9-18
`DirectSumOfAlgebraModules`, for a list of Lie algebra modules 62.11-23
for two Lie algebra modules 62.11-23
`DirectSumOfAlgebras`, for a list of algebras 62.9-14
for two algebras 62.9-14
`DirectSumOp` 56.9-5
disable automatic loading 76.2-1
`DisableAttributeValueStoring` 13.6-5
`Discriminant` 66.6-6
`Display` 6.3-6
for a character table 71.13-3
for a ffe 59.6-1
for a table of marks 70.4-3
for class functions 72.5-3
`DisplayCacheStats` 7.8-20
`DisplayCompositionSeries` 39.17-6
`DisplayEggBoxOfDClass` 51.8-7
`DisplayImfInvariants` 50.7-2
`DisplayInformationPerfectGroups`, for a pair [ order, index ] 50.6-7
for group order (and index) 50.6-7
`DisplayOptions` 71.13-4
`DisplayOptionsStack` 8.1-6
`DisplayPackageLoadingLog` 76.2-5
`DisplayProfile` 7.8-9
`DisplaySemigroup` 51.8-13
`DisplayString` 27.7-1
`DistanceOfVectors`, for IsVectorObj,IsVectorObj 26.4-11
`DistancePerms` 42.2-2
`DistancesDistributionMatFFEVecFFE` 23.6-4
`DistancesDistributionVecFFEsVecFFE` 23.6-3
`DistanceVecFFE` 23.6-2
division 4.13
operation 31.12-1
division rings 58.
`DivisionRingByGenerators` 58.1-8
divisors, of an integer 14.4-12
`DivisorsInt` 14.4-12
Dixon-Schneider algorithm 71.16
`DixonInit` 71.17-2
`DixonRecord` 71.17-1
`DixonSplit` 71.17-4
`DixontinI` 71.17-3
`DMYDay` 27.10-3
`DMYhmsSeconds` 27.10-11
`DnLattice` 72.10-8
`DnLatticeIterative` 72.10-9
`do` 4.20
document formats (text, dvi, ps, pdf, HTML) 2.3
document formats!for help books 84.3
`Domain` 31.9-3
`DomainByGenerators` 31.9-3
`DomainOfPartialPerm` 54.3-4
`DomainOfPartialPermCollection` 54.3-4
`DominantCharacter`, for a root system and a highest weight 64.13-2
for a semisimple Lie algebra and a highest weight 64.13-2
`DominantWeights` 64.13-1
dot-file 39.20-3
`DotFileLatticeSubgroups` 39.20-3
`DoubleCoset` 39.9-1
`DoubleCosetRepsAndSizes` 39.9-5
`DoubleCosets` 39.9-3
`DoubleCosetsNC` 39.9-3
`DoubleCoverOfAlternatingGroup` 39.24-11
`DoubleHashArraySize` 28.7-2
doublequote character 27.2
doublequotes 27.1
`DownEnv` 6.5-1
duplicate free 21.17-2
`DuplicateFreeList` 21.20-4
`DxIncludeIrreducibles` 71.17-6
`E` 18.1-1
\(e_N\) (irrational value) 18.4-1
`EANormalSeriesByPcgs` 45.11-4
`Earns`, for a group, an action domain, etc. 41.10-6
for an external set 41.10-6
`EB` 18.4-1
`EC` 18.4-1
`ED` 18.4-1
`Edit` 6.10-1
`EE` 18.4-1
`EF` 18.4-1
`EG` 18.4-1
`EggBoxOfDClass` 51.8-6
`EH` 18.4-1
`EI` 18.4-2
`Eigenspaces` 24.8-4
`Eigenvalues` 24.8-3
`EigenvaluesChar` 72.8-19
`Eigenvectors` 24.8-5
`EJ` 18.4-4
`EK` 18.4-4
`EL` 18.4-4
element test, for lists 21.8-1
`ElementaryAbelianGroup` 50.1-4
`ElementaryAbelianSeries`, for a group 39.17-9
for a list 39.17-9
`ElementaryAbelianSeriesLargeSteps` 39.17-9
`ElementaryDivisorsMat` 24.9-1
`ElementaryDivisorsMatDestructive` 24.9-1
`ElementaryDivisorsTransformationsMat` 24.9-2
`ElementaryDivisorsTransformationsMatDestructive` 24.9-2
`ElementOfFpGroup` 47.4-5
`ElementOfFpMonoid` 52.4-2
`ElementOfFpSemigroup` 52.4-2
`ElementOfMagmaRing` 65.2-6
`ElementOrdersPowerMap` 73.1-3
`ElementProperty` 43.12-2
`Elements` 30.3-11
elements, definition 12.2
of a list or collection 30.3-10
`ElementsFamily` 30.2-3
`ElementsStabChain` 43.10-9
`elif` 4.17
`EliminatedWord` 37.4-6
`EliminationOrdering` 66.17-10
ElmWPObj 86.2
`ElmWPObj` 86.2-1
`else` 4.17
`EM` 18.4-4
`emacs` 6.11
email addresses 1.5
`Embedding`, example for direct products 49.1-1
example for semidirect products 49.2-1
example for wreath products 49.4-1
`Embedding`, for a domain and a positive integer 32.2-11
for group products 49.6-1
`Embedding`, for Lie algebras 64.1-3
for magma rings 65.3
`Embedding`, for two domains 32.2-11
embeddings, find all 40.9-5
`EmptyBinaryRelation`, for a degree 33.1-4
for a domain 33.1-4
`EmptyMatrix` 24.5-3
`EmptyPartialPerm` 54.2-6
`EmptyPlist` 21.9-1
`EmptySCTable` 62.4-3
`EmptyStabChain` 43.11-7
`EmptyString` 27.4-5
`EnableAttributeValueStoring` 13.6-6
`end` 4.23
`End` 61.10-6
`EndlineFunc` 5.1-5
`EndsWith` 27.7-22
`Enumerator` 30.3-2
`EnumeratorByBasis` 61.6-5
`EnumeratorByFunctions`, for a domain and a record 30.3-4
for a family and a record 30.3-4
`EnumeratorOfCombinations` 16.2-2
`EnumeratorOfTuples` 16.2-9
`EnumeratorSorted` 30.3-3
environment 4.23
`Epicentre` 39.24-4
`EpimorphismFromFreeGroup` 39.5-1
`EpimorphismNilpotentQuotient` 47.14-4
`EpimorphismNonabelianExteriorSquare` 39.24-6
`EpimorphismPGroup` 47.14-3
`EpimorphismQuotientSystem` 47.14-2
epimorphisms, find all 40.9-4
`EpimorphismSchurCover` 39.24-1
`EpimorphismSolvableQuotient` 47.14-6
`EqFloat` 19.2-6
equality, associative words 37.3-1
elements of finitely presented groups 47.3-1
for pcwords 46.2-1
for transformations 53.4
nonassociative words 36.2-1
of booleans 20.3-1
of records 29.5
operation 31.11-1
equality test 4.12
for permutations 42.2-1
equivalence class 33.7-1
equivalence relation 33.2-8 33.5
`EquivalenceClasses`, attribute 33.7-3
`EquivalenceClassOfElement` 33.7-4
`EquivalenceClassOfElementNC` 33.7-4
`EquivalenceClassRelation` 33.7-2
`EquivalenceRelationByPairs` 33.5-3
`EquivalenceRelationByPairsNC` 33.5-3
`EquivalenceRelationByPartition` 33.5-1
`EquivalenceRelationByPartitionNC` 33.5-1
`EquivalenceRelationByProperty` 33.5-4
`EquivalenceRelationByRelation` 33.5-2
`EquivalenceRelationPartition` 33.6-1
`ER` 18.4-2
`Erf` 19.2-10
`Error` 6.6-1
`ErrorCount` 6.6-3
`ErrorNoReturn` 6.6-2
`ErrorNoTraceBack` 6.4-3
errors, syntax 6.1
`ES` 18.4-3
escaped characters 27.2
escaping non-special characters 27.2
`ET` 18.4-3
`EU` 18.4-3
`EuclideanDegree` 56.6-2
`EuclideanQuotient` 56.6-3
`EuclideanRemainder` 56.6-4
Euler's totient function 15.2-2
`EulerianFunction` 39.16-3
`EulerianFunctionByTom` 70.9-9
`EV` 18.4-3
`EvalStraightLineProgElm` 37.9-4
`EvalString` 27.9-5
evaluation 4.7
strings 27.9-1 27.9-2 27.9-3
`EW` 18.4-3
`EX` 18.4-3
`ExactSizeConsiderFunction` 39.21-5
Excel 10.11
`Exec` 11.1-2
execution 4.14
exit 6.7
`Exp` 19.2-10
`Exp10` 19.2-10
`Exp2` 19.2-10
Expanded form of monomials 66.21
`Expm1` 19.2-10
`Exponent` 39.16-2
for a character table 71.8-5
exponent, of the prime residue group 15.2-3
exponentiation, operation 31.12-1
`ExponentOfPcElement` 45.5-2
`ExponentsConjugateLayer` 45.6-1
`ExponentsOfCommutator` 45.6-4
`ExponentsOfConjugate` 45.6-3
`ExponentsOfPcElement` 45.5-3
`ExponentsOfRelativePower` 45.6-2
`ExponentSumWord` 37.4-2
`ExponentSyllable` 37.5-2
`ExtendedPcgs` 45.7-8
`ExtendRootDirectories` 76.2-4
`ExtendStabChain` 43.11-4
`Extension` 46.8-5
`ExtensionNC` 46.8-5
`ExtensionRepresentatives` 46.8-9
`Extensions` 46.8-4
exterior power 72.11-3
`ExteriorCentre` 39.24-4
`ExteriorPowerOfAlgebraModule` 64.15-2
external binaries, for a GAP package 76.14-1
External representation of polynomials 66.21
`ExternalOrbit` 41.12-9
`ExternalOrbits`, for a group, an action domain, etc. 41.12-11
for an external set 41.12-11
`ExternalOrbitsStabilizers`, for a group, an action domain, etc. 41.12-12
for an external set 41.12-12
`ExternalSet` 41.12-2
`ExternalSet`, computing orbits 85.3
`ExternalSubset` 41.12-7
`Extract` 72.10-5
`ExtractSubVector`, for IsVectorObj,IsList 26.4-6
`ExtraspecialGroup` 50.1-10
`ExtRepDenominatorRatFun` 66.21-3
`ExtRepNumeratorRatFun` 66.21-2
`ExtRepOfObj` 79.8-1
for a cyclotomic 18.1-12
`ExtRepPolynomialRatFun` 66.21-6
`EY` 18.4-3
\(f_N\) (irrational value) 18.4-1
`FactorCosetAction` 41.8-1
for fp groups 47.6-3
`FactorFreeMonoidByRelations` 52.2-2
`FactorFreeSemigroupByRelations` 52.2-2
`FactorGroup` 39.18-2
`FactorGroupFpGroupByRels` 47.2-2
`FactorGroupNC` 39.18-2
`FactorGroupNormalSubgroupClasses` 71.23-4
`FactorGroupTom` 70.9-11
`Factorial` 16.1-1
factorization 39.5
`Factorization` 39.5-2
`Factors` 56.5-9
for polynomials over abelian number fields 60.2-1
of polynomial 66.10-1
`FactorsInt` 14.4-7
using Pollard's Rho 14.4-7
`FactorsOfDirectProduct` 71.20-2
`FactorsSquarefree` 66.10-2
`fail` 20.2-1
`FaithfulModule`, for Lie algebras 62.11-20
`FamiliesOfGeneralMappingsAndRanges` 32.14-5
`FamiliesOfRows` 71.22-5
`FamilyForOrdering` 34.3-4
`FamilyObj` 13.1-1
`FamilyPcgs` 46.1-1
`FamilyRange` 32.14-3
`FamilySource` 32.14-4
features, under UNIX 3.1
`fi` 4.17
`Fibonacci` 16.3-1
`Field`, for (a field and) a list of generators 58.1-3
for several generators 58.1-3
field homomorphisms, Frobenius 59.4-1
`FieldByGenerators` 58.1-8
`FieldExtension` 58.2-9
`FieldOfMatrixGroup` 44.2-3
`FieldOverItselfByGenerators` 58.2-2
fields 58.
`FileDescriptorOfStream` 10.2-2
`Filename`, for a directory and a string 9.4-1
for a list of directories and a string 9.4-1
`FilenameFunc` 5.1-4
`FilterByName` 13.2-3
`Filtered` 21.20-20
`FiltersObj` 13.2-5
`FiltersType` 13.2-5
`FindSl2` 64.9-7
finiteness test, for a list or collection 30.4-2
`First` 21.20-22
`FittingSubgroup` 39.12-5
`FixedPointsOfPartialPerm`, for a partial perm 54.3-8
for a partial perm coll 54.3-8
`Flat` 21.20-6
`FlatKernelOfTransformation` 53.5-11
`FlipBlist` 22.4-5
`Float` 19.2-1
`FLOAT`, constants 19.2-5
`Floor` 19.2-10
flush character 27.2
`FlushCaches` 79.10-3
FOA triples 85.
`for` loop 4.20
`ForAll` 21.20-23
`ForAny` 21.20-24
`FORCE_QUIT_GAP` 6.7-4
`FpElmComparisonMethod` 47.3-3
`FpGroupCocycle` 39.25-2
`FpGroupPresentation` 48.1-4
`FpGrpMonSmgOfFpGrpMonSmgElement` 52.1-4
`FpLieAlgebraByCartanMatrix` 64.11-1
`Frac` 19.2-10
Frame 72.11-4
`FrattiniSubgroup` 39.12-6
`FrattiniSubgroup`, for groups with pcgs 45.16
`FreeAbelianGroup` 50.1-5
`FreeAlgebra`, for ring and several names 62.3-1
for ring, rank (and name) 62.3-1
`FreeAlgebraWithOne`, for ring and several names 62.3-2
for ring, rank (and name) 62.3-2
`FreeAssociativeAlgebra`, for ring and several names 62.3-3
for ring, rank (and name) 62.3-3
`FreeAssociativeAlgebraWithOne`, for ring and several names 62.3-4
for ring, rank (and name) 62.3-4
`FreeGeneratorsOfFpGroup` 47.4-2
`FreeGeneratorsOfFpMonoid` 52.4-4
`FreeGeneratorsOfFpSemigroup` 52.4-4
`FreeGeneratorsOfWholeGroup` 47.4-2
`FreeGroup`, for a list of names 37.2-1
for given rank 37.2-1
for infinitely many generators 37.2-1
for various names 37.2-1
`FreeGroupOfFpGroup` 47.4-1
`FreeLeftModule` 57.3-2
`FreeLieAlgebra`, for ring and several names 64.2-4
for ring, rank (and name) 64.2-4
`FreeMagma`, for a list of names 36.4-1
for given rank 36.4-1
for infinitely many generators 36.4-1
for various names 36.4-1
`FreeMagmaRing` 65.1-1
`FreeMagmaWithOne`, for a list of names 36.4-2
for given rank 36.4-2
for infinitely many generators 36.4-2
for various names 36.4-2
`FreeMonoid`, for a list of names 51.2-9
for given rank 51.2-9
for infinitely many generators 51.2-9
for various names 51.2-9
`FreeMonoidOfFpMonoid` 52.4-3
`FreeMonoidOfRewritingSystem` 52.5-5
`FreeProduct`, for a list 49.5-1
for several groups 49.5-1
`FreeSemigroup`, for a list of names 51.1-10
for given rank 51.1-10
for infinitely many generators 51.1-10
for various names 51.1-10
`FreeSemigroupOfFpSemigroup` 52.4-3
`FreeSemigroupOfRewritingSystem` 52.5-5
`FrExp` 19.2-10
Frobenius automorphism 59.4-1
Frobenius Normal Form 24.13-2
`FrobeniusAutomorphism` 59.4-1
`FrobeniusCharacterValue` 72.15-1
`FullMatrixAlgebra` 62.5-4
`FullMatrixAlgebraCentralizer` 62.9-15
`FullMatrixLieAlgebra` 64.2-5
`FullMatrixModule` 57.3-11
`FullMatrixSpace` 61.9-5
`FullRowModule` 57.3-9
`FullRowSpace` 61.9-4
`FullTransformationMonoid` 53.7-3
`FullTransformationSemigroup` 53.7-3
`FunctionAction` 41.12-4
`FunctionField`, for an integral ring and a list of indeterminate numbers 66.15-8
for an integral ring and a list of indeterminates 66.15-8
for an integral ring and a list of names (and an exclusion list) 66.15-8
for an integral ring and a rank (and an exclusion list) 66.15-8
`FunctionOperation` 77.1
functions, as in mathematics 32.
as in programming language 5.
definition by arrow notation 4.23
definition of 4.23
recursive 4.23
with a variable number of arguments 4.23
with a variable number of arguments, calling 4.11-1
`FunctionsFamily` 5.5-2
`FusionCharTableTom` 70.11-1
`FusionConjugacyClasses`, for a homomorphism 73.3-1
for two character tables 73.3-1
for two groups 73.3-1
`FusionConjugacyClassesOp`, for a homomorphism 73.3-1
for two character tables 73.3-1
fusions 73.3
`FusionsAllowedByRestrictions` 73.7-4
`FusionsTom` 70.7-6
\(G\)-sets 41.12
computing orbits 85.3
\(g_N\) (irrational value) 18.4-1
`gac` 76.3-11
`GaloisCyc`, for a class function 72.4-2
for a cyclotomic 18.5-1
for a list of cyclotomics 18.5-1
`GaloisField`, for characteristic and degree 59.3-2
for characteristic and polynomial 59.3-2
for field size 59.3-2
for subfield and degree 59.3-2
for subfield and polynomial 59.3-2
`GaloisGroup`, for abelian number fields 60.4-1
of field 58.3-1
of rational class of a group 39.10-8
`GaloisMat` 18.5-5
`GaloisStabilizer` 60.2-5
`GaloisType` 66.11-3
`Gamma` 19.2-10
`GammaL` 50.2-9
`gap.ini` 3.2-1
`GAP_EXIT_CODE` 6.7-2
GAPDoc format, for writing package documentation 76.5
`GAPDocManualLab` 76.22
`GAPInfo` 3.5-1
`GAPInfo.Architecture` 76.3-8
`GAPInfo.CommandLineOptions` 3.1
`GAPInfo.Keywords` 4.5
`GAPInfo.ProfileThreshold` 7.8-9
`GAPInfo.RootPaths` 9.2
`GAPInfo.UserGapRoot` 9.2
`GAPInfo.Version` 7.9
`GapInputPcGroup` 46.6-1
`GapInputSCTable` 62.4-5
`GAPKB_REW` 52.5-2
`GAPTCENUM` 47.6-5
`GASMAN` 7.12
`GasmanLimits` 7.12-3
`GasmanMessageStatus` 7.12-2
`GasmanStatistics` 7.12-1
Gaussian algorithm 24.7
`GaussianIntegers` 60.5-1
`GaussianRationals` 60.1-3
`Gcd`, for (a ring and) a list of elements 56.7-1
for (a ring and) several elements 56.7-1
`Gcdex` 14.3-5
`GcdInt` 14.3-4
`GcdOp` 56.7-2
`GcdRepresentation`, for (a ring and) a list of elements 56.7-3
for (a ring and) several elements 56.7-3
`GcdRepresentationOp` 56.7-4
`GeneralisedEigenspaces` 24.8-2
`GeneralisedEigenvalues` 24.8-1
`GeneralisedQuaternionGenerators` 50.1-9
generalized characters 72.
generalized conjugation technique 87.1
`GeneralizedEigenspaces` 24.8-2
`GeneralizedEigenvalues` 24.8-1
`GeneralLinearGroup`, for dimension and a ring 50.2-1
for dimension and field size 50.2-1
`GeneralMappingByElements` 32.2-1
`GeneralMappingsFamily` 32.14-6
`GeneralOrthogonalGroup` 50.2-6
`GeneralSemilinearGroup` 50.2-9
`GeneralUnitaryGroup` 50.2-3
generator, of the prime residue group 15.3-3 15.3-4
`GeneratorsOfAdditiveGroup` 55.3-4
`GeneratorsOfAdditiveMagma` 55.3-2
`GeneratorsOfAdditiveMagmaWithZero` 55.3-3
`GeneratorsOfAlgebra` 62.9-1
`GeneratorsOfAlgebraModule` 62.11-7
`GeneratorsOfAlgebraWithOne` 62.9-2
`GeneratorsOfDivisionRing` 58.1-6
`GeneratorsOfDomain` 31.9-2
`GeneratorsOfEquivalenceRelationPartition` 33.6-2
`GeneratorsOfField` 58.1-7
`GeneratorsOfGroup` 39.2-4
`GeneratorsOfIdeal` 56.2-7
`GeneratorsOfInverseMonoid` 51.3-4
`GeneratorsOfInverseSemigroup` 51.3-3
`GeneratorsOfLeftIdeal` 56.2-8
`GeneratorsOfLeftModule` 57.1-4
`GeneratorsOfLeftOperatorAdditiveGroup` 57.1-3
`GeneratorsOfLeftVectorSpace` 61.3-1
`GeneratorsOfMagma` 35.4-1
`GeneratorsOfMagmaWithInverses` 35.4-3
`GeneratorsOfMagmaWithOne` 35.4-2
`GeneratorsOfMonoid` 51.2-7
`GeneratorsOfNearAdditiveGroup` 55.3-4
`GeneratorsOfNearAdditiveMagma` 55.3-2
`GeneratorsOfNearAdditiveMagmaWithZero` 55.3-3
`GeneratorsOfPresentation` 48.1-3
`GeneratorsOfRightIdeal` 56.2-9
`GeneratorsOfRightModule` 57.1-9
`GeneratorsOfRightOperatorAdditiveGroup` 57.1-8
`GeneratorsOfRing` 56.1-6
`GeneratorsOfRingWithOne` 56.3-4
`GeneratorsOfRws` 38.1-12
`GeneratorsOfSemigroup` 51.1-8
`GeneratorsOfStruct` 31.3
`GeneratorsOfTwoSidedIdeal` 56.2-7
`GeneratorsOfVectorSpace` 61.3-1
`GeneratorsPrimeResidues` 15.2-4
`GeneratorsSmallest` 39.22-1
`GeneratorsSubgroupsTom` 70.10-1
`GeneratorSyllable` 37.5-3
`GetCyclotomicsLimit` 18.6-1
`GetFusionMap` 73.3-3
`GetRecursionDepth` 7.11-1
getting help 2.1
`GetWithDefault` 21.5-2
`GF`, for characteristic and degree 59.3-2
for characteristic and polynomial 59.3-2
for field size 59.3-2
for subfield and degree 59.3-2
for subfield and polynomial 59.3-2
`GL`, for dimension and a ring 50.2-1
for dimension and field size 50.2-1
`GlobalMersenneTwister` 14.7-4
`GlobalRandomSource` 14.7-4
`GModuleByMats`, for empty list, the dimension, and a field 69.1-1
for generators and a field 69.1-1
`GO` 50.2-6
`GQuotients` 40.9-4
`Grading` 62.9-20
graphviz 39.20-3
`GreensDClasses` 51.8-9
`GreensDClassOfElement` 51.8-8
`GreensDRelation` 51.8-1
`GreensHClasses` 51.8-9
`GreensHClassOfElement` 51.8-8
`GreensHRelation` 51.8-1
`GreensJClasses` 51.8-9
`GreensJClassOfElement` 51.8-8
`GreensJRelation` 51.8-1
`GreensLClasses` 51.8-9
`GreensLClassOfElement` 51.8-8
`GreensLRelation` 51.8-1
`GreensRClasses` 51.8-9
`GreensRClassOfElement` 51.8-8
`GreensRRelation` 51.8-1
`GroebnerBasis`, for a list and a monomial ordering 66.18-1
for an ideal and a monomial ordering 66.18-1
`GroebnerBasisNC` 66.18-1
`Group`, for a list of generators (and an identity element) 39.2-1
for several generators 39.2-1
group actions 41. 41.2
operations syntax 41.1
group algebra 65.
group characters 72.
group operations 41.2 77.1
group ring 65.
`GroupByGenerators` 39.2-2
with explicitly specified identity element 39.2-2
`GroupByRws` 46.4-6
`GroupByRwsNC` 46.4-6
`GroupGeneralMappingByImages` 40.1-3
from group to itself 40.1-3
`GroupGeneralMappingByImagesNC` 40.1-3
from group to itself 40.1-3
`GroupHClassOfGreensDClass` 51.8-10
`GroupHomomorphismByFunction`, by function (and inverse function) between two domains 40.1-4
by function and function that computes one preimage 40.1-4
`GroupHomomorphismByImages` 40.1-1
`GroupHomomorphismByImagesNC` 40.1-2
`GroupOfPcgs` 45.4-5
`GroupRing` 65.1-2
`GroupStabChain` 43.10-5
`GroupWithGenerators` 39.2-3
`GrowthFunctionOfGroup` 39.5-3
with word length limit 39.5-3
`GU` 50.2-3
\(h_N\) (irrational value) 18.4-1
`HallSubgroup` 39.13-3
`HallSystem` 39.13-6
`HallSystem`, for groups with pcgs 45.16
`HasAbelianFactorGroup` 39.18-5
`HasElementaryAbelianFactorGroup` 39.18-6
`HasIndeterminateName` 66.1-4
`HasParent` 31.7-1
`HasseDiagramBinaryRelation` 33.4-4
`HeadPcElementByNumber` 45.5-12
`HELP_ADD_BOOK` 84.1-1
`HELP_REMOVE_BOOK` 84.1-2
`HELP_VIEWER_INFO` 84.4-1
`HenselBound` 66.12-3
Hermite normal form 77.3
`HermiteNormalFormIntegerMat` 25.2-4
`HermiteNormalFormIntegerMatTransform` 25.2-5
`HeuristicCancelPolynomialsExtRep` 66.24-3
hexadecimal character codes 27.2
`HexStringInt` 27.7-8
`HighestWeightModule` 64.14-5
`HMSMSec` 27.10-7
`Hom` 61.10-5
home directory, for a GAP package 76.5
`HomeEnumerator` 41.12-5
`HomomorphismQuotientSemigroup` 51.7-2
homomorphisms, find all 40.9
Frobenius, field 59.4-1
`Hypothenuse` 19.2-10
\(i_N\) (irrational value) 18.4-2
`Ideal` 56.2-1
`IdealByGenerators` 56.2-4
`IdealDecompositionsOfPolynomial` 67.3-1
`IdealNC` 56.2-2
`Ideals` 56.9-4
`Idempotent` 53.2-4
`Idempotents` 35.4-6
`IdempotentsTom` 70.7-8
`IdempotentsTomInfo` 70.7-8
`IdentificationOfConjugacyClasses` 71.6-3
`Identifier`, for character tables 71.9-8
for tables of marks 70.7-9
`Identity` 31.10-2
`IdentityBinaryRelation`, for a degree 33.1-3
for a domain 33.1-3
`IdentityFromSCTable` 62.4-7
`IdentityMapping` 32.2-10
`IdentityMat` 24.5-1
`IdentityTransformation` 53.2-8
`IdFunc` 5.4-6
`if` statement 4.17
`Image`, for Frobenius automorphisms 59.4-1
`Image`, set of images of a collection under a mapping 32.4-6
set of images of the source of a general mapping 32.4-6
unique image of an element under a mapping 32.4-6
image, vector under matrix 24.3
`ImageElm` 32.4-5
`ImageListOfPartialPerm` 54.3-6
`ImageListOfTransformation` 53.5-2
`ImageOfPartialPermCollection` 54.3-5
`Images`, set of images of a collection under a mapping 32.4-7
set of images of an element under a mapping 32.4-7
set of images of the source of a general mapping 32.4-7
`ImagesElm` 32.4-3
`ImageSetOfPartialPerm` 54.3-7
`ImageSetOfTransformation` 53.5-3
`ImagesRepresentative` 32.4-2
`ImagesSet` 32.4-4
`ImagesSmallestGenerators` 40.3-5
`ImagesSource` 32.4-1
`ImaginaryPart` 18.5-2
`ImfInvariants` 50.7-3
`ImfMatrixGroup` 50.7-4
`ImfNumberQClasses` 50.7-1
`ImfNumberQQClasses` 50.7-1
`ImfNumberZClasses` 50.7-1
immediate integer 14.
`Immutable` 12.6-3
`ImmutableBasis` 61.8-4
`ImmutableMatrix` 24.14-1
`ImmutableVector` 23.3-2
`in`, for lists 21.8-1
operation for 30.6
`\in`, operation for testing membership 30.6
`IncreaseInterval` 19.5-8
`IndependentGeneratorExponents` 39.22-6
`IndependentGeneratorsOfAbelianGroup` 39.22-5
`Indeterminate`, for a family and a number 66.1-1
for a ring (and a name, and an exclusion list) 66.1-1
for a ring (and a number) 66.1-1
`IndeterminateName` 66.1-4
`Indeterminateness` 73.5-13
`IndeterminateNumberOfLaurentPolynomial` 66.13-3
`IndeterminateNumberOfUnivariateRationalFunction` 66.1-2
`IndeterminateOfUnivariateRationalFunction` 66.1-3
`IndeterminatesOfFunctionField` 66.15-2
`IndeterminatesOfPolynomialRing` 66.15-2
`Index`, for a group and its subgroup 39.3-2
for two character tables 71.12-1
`IndexInWholeGroup` 39.3-3
`IndexNC`, for a group and its subgroup 39.3-2
`IndexPeriodOfPartialPerm` 54.3-16
`IndexPeriodOfTransformation` 53.5-15
`Indicator` 71.12-5
`IndicatorOp` 71.12-5
`IndicesCentralNormalSteps` 45.11-7
`IndicesChiefNormalSteps` 45.11-15
`IndicesEANormalSteps` 45.11-3
`IndicesEANormalStepsBounded` 45.11-3
`IndicesInvolutaryGenerators` 47.6-9
`IndicesNormalSteps` 45.11-17
`IndicesOfAdjointBasis` 62.9-6
`IndicesPCentralNormalStepsPGroup` 45.11-11
`IndicesStabChain` 43.10-7
`Indirected` 73.5-4
`InducedAutomorphism` 40.7-6
`InducedClassFunction`, for a given monomorphism 72.9-3
for a supergroup 72.9-3
for the character table of a supergroup 72.9-3
`InducedClassFunctions` 72.9-4
`InducedClassFunctionsByFusionMap` 72.9-5
`InducedCyclic` 72.9-6
`InducedPcgs` 45.7-4
`InducedPcgsByGenerators` 45.7-5
`InducedPcgsByGeneratorsNC` 45.7-5
`InducedPcgsByPcSequence` 45.7-2
`InducedPcgsByPcSequenceAndGenerators` 45.7-6
`InducedPcgsByPcSequenceNC` 45.7-2
`InducedPcgsWrtFamilyPcgs` 46.1-3
`InducedPcgsWrtSpecialPcgs` 45.13-8
`Inequalities` 72.14-5
inequality, of booleans 20.3-1
of records 29.5
inequality test 4.12
`InertiaSubgroup` 72.8-13
`Inf` 19.5-2
`infinity` 18.2-1
inflated class functions 72.9
`Info` 7.4-6
`InfoAlgebra` 62.1-1
`InfoAttributes` 13.6-4
`InfoBckt` 43.12-4
`InfoCharacterTable` 71.4-2
`InfoClass`, for a GAP package 76.15
`InfoCoh` 39.23-5
`InfoComplement` 39.11-7
`InfoCoset` 39.9-6
`InfoFpGroup` 47.1-3
`InfoGroebner` 66.18-4
`InfoGroup` 39.2-8
`InfoLattice` 39.20-13
`InfoLevel` 7.4-4
`InfoMatrix` 24.1-1
`InfoMonomial` 75.1-1
`InfoNumtheor` 15.1-1
`InfoObsolete` 77.4-1
`InfoOptions` 8.1-7
`InfoOutput` 7.4-7
`InfoPackageLoading` 76.2-5
`InfoPcSubgroup` 39.21-6
`InfoPoly` 66.5-8
`InfoText` 12.8-3
`InfoText`, (for Conway polynomials) 59.5-1
`InfoText`, for character tables 71.9-9
`InfoTom` 70.6-1
`InfoWarning` 7.4-8
`Init` 14.7-3
`init.g`, for a GAP package 76.5
`InitFusion` 73.7-1
`InitPowerMap` 73.6-1
`InjectionZeroMagma` 35.2-13
inner product, of group characters 72.8-5
`InnerAutomorphism` 40.6-3
`InnerAutomorphismNC` 40.6-3
`InnerAutomorphismsAutomorphismGroup` 40.7-5
`InParentFOA` 85.2-1
`InputFromUser` 10.6-3
`InputLogTo`, for a filename 9.7-5
for streams 10.4-6
stop logging input 9.7-5
`InputOutputLocalProcess` 10.8-2
`InputTextFile` 10.5-1
`InputTextNone` 10.9-1
`InputTextString` 10.7-1
`InputTextUser` 10.6-1
`InsertTrivialStabilizer` 43.11-8
`InstallAtExit` 6.7-5
`InstallCharReadHookFunc` 10.10-1
`InstalledPackageVersion` 76.3-6
`InstallFactorMaintenance` 31.13-5
`InstallFlushableValue` 79.10-2
`InstallFlushableValueFromFunction` 79.10-2
`InstallGlobalFunction` 79.10-4
`InstallHandlingByNiceBasis` 61.12-1
`InstallImmediateMethod` 78.7-1
`InstallIsomorphismMaintenance` 31.13-6
`InstallMethod` 78.3-1
`InstallMethodWithRandomSource` 78.3-3
`InstallOtherMethod` 78.3-2
`InstallOtherMethodWithRandomSource` 78.3-3
`InstallReadlineMacro` 6.9-4
`InstallSubsetMaintenance` 31.13-4
`InstallTrueMethod` 78.8-1
`InstallValue` 79.10-2
`Int` 14.2-3
for a cyclotomic 18.1-5
for a FFE 59.2-3
for strings 27.9-1
`IntChar` 27.8-1
integer part of a quotient 14.3-1
`Integers`, global variable 14.1-1
`IntegralizedMat` 25.4-4
`IntegratedStraightLineProgram` 37.8-8
`IntermediateGroup` 39.17-17
`IntermediateResultOfSLP` 37.8-10
`IntermediateResultOfSLPWithoutOverwrite` 37.8-11
`IntermediateResultsOfSLPWithoutOverwrite` 37.8-12
`IntermediateSubgroups` 39.17-18
`InterpolatedPolynomial` 56.7-10
`IntersectBlist` 22.4-3
`Intersection`, for a list 30.5-2
`Intersection`, for groups with pcgs 45.16
`Intersection`, for various collections 30.5-2
intersection, of collections 30.5-2
of sets 21.19-7
`Intersection2` 30.5-2
`IntersectionBlist`, for a list 22.3-2
for various boolean lists 22.3-2
`IntersectionsTom` 70.9-10
`IntersectSet` 21.19-7
`IntFFE` 59.2-3
`IntFFESymm`, for a FFE 59.2-4
for a vector of FFEs 59.2-4
`IntHexString` 27.9-3
INTOBJ_MAX 14.
INTOBJ_MIN 14.
`IntScalarProducts` 73.5-15
`IntVecFFE` 59.2-5
`InvariantBilinearForm` 44.5-1
`InvariantElementaryAbelianSeries` 39.17-10
`InvariantLattice` 44.6-6
`InvariantQuadraticForm` 44.5-5
`InvariantSesquilinearForm` 44.5-3
`InvariantSubgroupsElementaryAbelianGroup` 39.21-2
`Inverse` 31.10-8
for a pcword 46.2-2
for a transformation 53.5-14
Inverse, group homomorphism 40.2
inverse, matrix 24.3
of class function 72.4
`InverseAttr` 31.10-8
`InverseClasses` 71.9-10
`InverseGeneralMapping` 32.2-3
`InverseImmutable` 31.10-8
`InverseMap` 73.5-2
`InverseMatMod` 24.15-1
`InverseMonoid` 51.3-2
`InverseMutable` 31.10-8
`InverseOfTransformation` 53.5-13
`InverseOp` 31.10-8
`InverseRepresentative` 43.10-11
`InverseSameMutability` 31.10-8
`InverseSemigroup` 51.3-1
`InverseSM` 31.10-8
`InversesOfSemigroupElement` 51.4-3
`InvocationReadlineMacro` 6.9-4
`Irr`, for a character table 71.8-2
for a group 71.8-2
irrationalities 18.
`IrrBaumClausen` 71.14-3
`IrrConlon` 71.14-2
`IrrDixonSchneider` 71.14-1
irreducible character 72.8-3
irreducible characters, computation 71.17
`IrreducibleDifferences` 72.10-3
`IrreducibleModules` 71.15-1
`IrreducibleModules`, for groups with pcgs 45.16
`IrreducibleRepresentations` 71.14-4
`IrreducibleRepresentationsDixon` 71.14-5
`Is16BitsFamily` 37.6-7
`Is32BitsFamily` 37.6-7
`IsAbelian` 35.4-9
for a character table 71.8-5
`IsAbelianNumberField` 60.2-3
`IsAbelianNumberFieldPolynomialRing` 66.15-6
`IsAbelianTom` 70.8-1
`IsAdditiveElement` 31.14-3
`IsAdditiveElementWithInverse` 31.14-7
`IsAdditiveElementWithZero` 31.14-5
`IsAdditiveGroup` 55.1-6
`IsAdditiveGroupGeneralMapping` 32.10-4
`IsAdditiveGroupHomomorphism` 32.10-4
`IsAdditivelyCommutative` 55.3-1
`IsAdditivelyCommutativeElement` 31.15-2
`IsAdditivelyCommutativeElementCollColl` 31.15-2
`IsAdditivelyCommutativeElementCollection` 31.15-2
`IsAdditivelyCommutativeElementFamily` 31.15-2
`IsAdditiveMagma` 55.1-4
`IsAdditiveMagmaWithInverses` 55.1-6
`IsAdditiveMagmaWithZero` 55.1-5
`IsAlgebra` 62.8-3
`IsAlgebraGeneralMapping` 32.12-3
`IsAlgebraHomomorphism` 32.12-3
`IsAlgebraicElement` 67.2-1
`IsAlgebraicExtension` 67.1-2
`IsAlgebraModuleElement` 62.11-8
`IsAlgebraModuleElementCollection` 62.11-8
`IsAlgebraModuleElementFamily` 62.11-8
`IsAlgebraWithOne` 62.8-4
`IsAlgebraWithOneGeneralMapping` 32.12-4
`IsAlgebraWithOneHomomorphism` 32.12-4
`IsAlmostSimple`, for a character table 71.8-5
`IsAlmostSimpleGroup` 39.15-11
`IsAlphaChar` 27.5-4
`IsAlternatingGroup` 43.4-3
`IsAnticommutative` 56.4-6
`IsAntisymmetricBinaryRelation` 33.2-4
`IsAssociated` 56.5-3
`IsAssociative` 35.4-7
`IsAssociativeElement` 31.15-1
`IsAssociativeElementCollColl` 31.15-1
`IsAssociativeElementCollection` 31.15-1
`IsAssocWord` 37.1-1
`IsAssocWordWithInverse` 37.1-1
`IsAssocWordWithOne` 37.1-1
`IsAttribute` 13.5-1
`IsAttributeStoringRep` 13.5-5
`IsAutomorphismGroup` 40.7-4
`IsBasicWreathLessThanOrEqual` 37.3-4
`IsBasicWreathProductOrdering` 34.4-12
`IsBasis` 61.5-1
`IsBasisByNiceBasis` 61.11-5
`IsBasisOfAlgebraModuleElementSpace` 62.11-14
`IsBergerCondition`, for a character 75.2-3
for a group 75.2-3
`IsBiCoset` 39.7-5
`IsBijective` 32.3-6
`IsBinaryRelation` 33.1-1
`IsBinaryRelation`, same as IsEndoGeneralMapping 33.
`IsBLetterAssocWordRep` 37.6-3
`IsBLetterWordsFamily` 37.6-4
`IsBlist` 22.1-1
`IsBlistRep` 22.5-1
IsBlockMatrixRep 24.17
`IsBool` 20.1-1
`IsBound`, for a global variable 4.8-1
for a list index 21.5-1
for a record component 29.6-1
`IsBound\.` 29.7-3
`IsBound\[\]` 21.2-1
`IsBoundElmWPObj` 86.2-1
`IsBoundGlobal` 4.9-6
`IsBrauerTable` 71.4-1
`IsBravaisGroup` 44.6-10
`IsBuiltFromAdditiveMagmaWithInverses` 38.3-1
`IsBuiltFromGroup` 38.3-1
`IsBuiltFromMagma` 38.3-1
`IsBuiltFromMagmaWithInverses` 38.3-1
`IsBuiltFromMagmaWithOne` 38.3-1
`IsBuiltFromSemigroup` 38.3-1
`IsCanonicalBasis` 61.7-1
`IsCanonicalBasisFullMatrixModule` 61.9-10
`IsCanonicalBasisFullRowModule` 61.9-9
`IsCanonicalNiceMonomorphism` 40.5-4
`IsCanonicalPcgs` 45.8-1
`IsCategory` 13.3-1
`IsCentral` 35.4-8
`IsCentralFactor` 39.24-7
`IsChar` 27.1-1
`IsCharacter` 72.8-1
`IsCharacteristicSubgroup` 39.3-7
`IsCharacterTable` 71.4-1
`IsCharacterTableInProgress` 71.4-1
`IsCharCollection` 27.1-1
`IsCheapConwayPolynomial` 59.5-2
`IsClassFunction` 72.1-1
`IsClassFusionOfNormalSubgroup` 71.12-4
`IsClosedStream` 10.1-2
`IsCochain` 64.12-1
`IsCochainCollection` 64.12-1
`IsCollection` 30.1-1
`IsCollectionFamily` 30.2-2
`IsCommutative` 35.4-9
`IsCommutativeElement` 31.15-3
`IsCommutativeElementCollColl` 31.15-3
`IsCommutativeElementCollection` 31.15-3
`IsComponentObjectRep` 13.4-1
`IsCompositionMappingRep` 32.2-7
`IsConfluent`, for a rewriting system 38.1-5
for an algebra with canonical rewriting system 38.1-5
for pc groups 46.4-7
`IsConjugacyClassSubgroupsByStabilizerRep` 39.19-2
`IsConjugacyClassSubgroupsRep` 39.19-2
`IsConjugate`, for a group and two elements 39.10-9
for a group and two groups 39.10-9
`IsConjugatorAutomorphism` 40.6-4
`IsConjugatorIsomorphism` 40.6-4
`IsConstantRationalFunction` 66.4-11
`IsConstantTimeAccessGeneralMapping` 32.13-2
`IsConstantTimeAccessList` 21.1-6
`IsContainedInSpan` 61.8-5
`IsCopyable` 12.6-1
`IsCyc` 18.1-3
`IsCyclic` 39.15-1
for a character table 71.8-5
`IsCyclicTom` 70.8-1
`IsCyclotomic` 18.1-3
`IsCyclotomicField` 60.2-4
`IsCyclotomicMatrixGroup` 44.6-1
`IsDataObjectRep` 13.4-1
`IsDenseList` 21.1-2
`IsDiagonalMat` 24.4-9
`IsDiagonalMatrix` 24.4-9
`IsDictionary` 28.3-2
`IsDigitChar` 27.5-1
`IsDihedralGroup` 50.1-7
`IsDirectory` 9.3-1
`IsDirectoryPath` 9.6-5
`IsDirectProductElement` 32.1-1
`IsDisjoint` 19.5-6
`IsDistributive` 56.4-5
`IsDivisionRing` 58.1-1
`IsDomain` 31.9-1
`IsDoneIterator` 30.8-4
`IsDoubleCoset`, operation 39.9-4
`IsDuplicateFree` 21.17-2
`IsDuplicateFreeList` 21.17-2
`IsDxLargeGroup` 71.17-8
`IsElementaryAbelian` 39.15-2
for a character table 71.8-5
`IsElementOfFpMonoid` 52.1-3
`IsElementOfFpSemigroup` 52.1-3
`IsElementOfFreeMagmaRing` 65.2-2
`IsElementOfFreeMagmaRingCollection` 65.2-2
`IsElementOfFreeMagmaRingFamily` 65.2-3
`IsElementOfMagmaRingModuloRelations` 65.4-1
`IsElementOfMagmaRingModuloRelationsCollection` 65.4-1
`IsElementOfMagmaRingModuloRelationsFamily` 65.4-2
`IsElementOfMagmaRingModuloSpanOfZeroFamily` 65.5-1
`IsEmpty` 30.4-1
`IsEmptyMatrix`, for matrices 24.4-7
`IsEmptyString` 27.4-4
`IsEndOfStream` 10.3-6
`IsEndoGeneralMapping` 32.13-3
`IsEndoGeneralMapping`, same as IsBinaryRelation 33.
`IsEqualSet` 21.19-2
`IsEquivalenceClass` 33.7-1
`IsEquivalenceRelation` 33.2-8
`IsEuclideanRing` 56.6-1
`IsEvenInt` 14.2-4
`IsExecutableFile` 9.6-4
`IsExistingFile` 9.6-1
`IsExtAElement` 31.14-1
`IsExternalOrbit` 41.12-8
`IsExternalSet` 41.12-1
`IsExternalSubset` 41.12-6
`IsExtLElement` 31.14-8
`IsExtRElement` 31.14-9
`IsFamilyPcgs` 46.1-2
`IsFFE` 59.1-1
`IsFFECollColl` 59.1-1
`IsFFECollCollColl` 59.1-1
`IsFFECollection` 59.1-1
`IsFFEMatrixGroup` 44.2-5
`IsField` 58.1-2
`IsFieldControlledByGaloisGroup` 58.3
`IsFieldHomomorphism` 32.12-5
`IsFinite` 30.4-2
for a character table 71.8-5
for floats 19.2-9
`IsFiniteDimensional` 57.3-4
for matrix algebras 62.8-7
`IsFiniteFieldPolynomialRing` 66.15-5
`IsFinitelyGeneratedGroup` 39.15-17
`IsFiniteOrderElement` 31.15-4
`IsFiniteOrderElementCollColl` 31.15-4
`IsFiniteOrderElementCollection` 31.15-4
`IsFiniteOrdersPcgs` 45.4-2
`IsFixedStabilizer` 43.11-9
`IsFLMLOR` 62.8-1
`IsFLMLORWithOne` 62.8-2
`IsFpGroup` 47.1-2
`IsFpMonoid` 52.1-2
`IsFpSemigroup` 52.1-2
`IsFreeGroup` 37.2-2
`IsFreeLeftModule` 57.3-1
`IsFreeMagmaRing` 65.1-3
`IsFreeMagmaRingWithOne` 65.1-4
`IsFromFpGroupGeneralMappingByImages` 40.10-10
`IsFromFpGroupHomomorphismByImages` 40.10-10
`IsFromFpGroupStdGensGeneralMappingByImages` 40.10-11
`IsFromFpGroupStdGensHomomorphismByImages` 40.10-11
`IsFullHomModule` 61.10-7
`IsFullMatrixModule` 57.3-10
`IsFullRowModule` 57.3-8
`IsFullSubgroupGLorSLRespectingBilinearForm` 44.5-2
`IsFullSubgroupGLorSLRespectingQuadraticForm` 44.5-6
`IsFullSubgroupGLorSLRespectingSesquilinearForm` 44.5-4
`IsFullTransformationMonoid` 53.7-4
`IsFullTransformationSemigroup` 53.7-4
`IsFunction` 5.5-1
`IsFunctionField` 66.15-9
`IsGAPRandomSource` 14.7-4
`IsGaussianIntegers` 60.5-2
`IsGaussianRationals` 60.1-3
`IsGaussianSpace` 61.9-3
`IsGaussInt` 18.1-14
`IsGaussRat` 18.1-15
`IsGeneralisedQuaternionGroup` 50.1-9
`IsGeneralizedDomain` 31.9-1
`IsGeneralizedRowVector` 21.12-1
`IsGeneralLinearGroup` 44.4-1
`IsGeneralMapping` 32.13-1
`IsGeneralMappingFamily` 32.14-2
`IsGeneratorsOfSemigroup` 51.1-9
`IsGeneratorsOfStruct` 31.3
`IsGL` 44.4-1
`IsGlobalRandomSource` 14.7-4
`IsGreensClass` 51.8-3
`IsGreensDClass` 51.8-3
`IsGreensDRelation` 51.8-2
`IsGreensHClass` 51.8-3
`IsGreensHRelation` 51.8-2
`IsGreensJClass` 51.8-3
`IsGreensJRelation` 51.8-2
`IsGreensLClass` 51.8-3
`IsGreensLessThanOrEqual` 51.8-4
`IsGreensLRelation` 51.8-2
`IsGreensRClass` 51.8-3
`IsGreensRelation` 51.8-2
`IsGreensRRelation` 51.8-2
`IsGroup` 39.2-7
`IsGroupGeneralMapping` 32.9-4
`IsGroupGeneralMappingByAsGroupGeneralMappingByImages` 40.10-3
`IsGroupGeneralMappingByImages` 40.10-1
`IsGroupGeneralMappingByPcgs` 40.10-7
`IsGroupHClass` 51.8-11
`IsGroupHomomorphism` 32.9-4
`IsGroupOfAutomorphisms` 40.7-2
`IsGroupRing` 65.1-5
`IsHandledByNiceBasis` 61.11-6
`IsHandledByNiceMonomorphism` 40.5-1
`IsHasseDiagram` 33.2-7
`IsHomogeneousList` 21.1-3
`IsIdempotent` 31.10-7
`IsIdenticalObj` 12.5-1
`IsIncomparableUnder` 34.3-3
`IsInducedFromNormalSubgroup` 75.3-4
`IsInducedPcgs` 45.7-1
`IsInducedPcgsWrtSpecialPcgs` 45.13-7
`IsInfBitsFamily` 37.6-7
`IsInfiniteAbelianizationGroup` 47.16-1
`IsInfiniteAbelianizationGroup`, for groups 47.16-1
`IsInfinity` 18.2-1
`IsInjective` 32.3-4
`IsInjectiveListTrans` 53.4-2
`IsInnerAutomorphism` 40.6-4
`IsInputOutputStream` 10.8-1
`IsInputStream` 10.1-3
`IsInputTextNone` 10.1-5
`IsInputTextStream` 10.1-4
`IsInt` 14.2-1
`IsIntegerMatrixGroup` 44.6-3
`IsIntegers` 14.1-2
`IsIntegralBasis` 61.7-2
`IsIntegralCyclotomic` 18.1-4
`IsIntegralRing` 56.4-1
`IsInternallyConsistent` 12.8-4
for character tables 71.12-2
for tables of marks 70.9-1
`IsInternalRep` 13.4-1
`IsInverseMonoid` 51.4-8
`IsInverseSemigroup` 51.4-8
`IsInverseSubsemigroup` 51.3-5
`IsIrreducibleCharacter` 72.8-3
`IsIrreducibleRingElement` 56.5-7
`IsIterator` 30.8-3
`IsJacobianElement` 31.15-5
`IsJacobianElementCollColl` 31.15-5
`IsJacobianElementCollection` 31.15-5
`IsJacobianRing` 56.4-8
`IsLaurentPolynomial` 66.4-10
`IsLaurentPolynomialDefaultRep` 66.21-7
`IsLDistributive` 56.4-3
`IsLeftAlgebraModuleElement` 62.11-9
`IsLeftAlgebraModuleElementCollection` 62.11-9
`IsLeftIdeal` 56.2-3
`IsLeftIdealInParent` 56.2-3
`IsLeftModule` 57.1-2
`IsLeftModuleGeneralMapping` 32.11-2
`IsLeftModuleHomomorphism` 32.11-2
`IsLeftOperatorAdditiveGroup` 57.1-1
`IsLeftSemigroupIdeal` 51.5-3
`IsLeftVectorSpace` 61.1-1
`IsLessThanOrEqualUnder` 34.3-8
`IsLessThanUnder` 34.3-7
`IsLetterAssocWordRep` 37.6-1
`IsLetterWordsFamily` 37.6-2
`IsLexicographicallyLess` 21.20-9
`IsLexOrderedFFE` 59.1-3
`IsLieAbelian` 64.5-1
`IsLieAlgebra` 62.8-5
`IsLieMatrix` 24.2-3
`IsLieNilpotent` 64.5-2
`IsLieObject` 64.1-2
`IsLieObjectCollection` 64.1-2
`IsLieSolvable` 64.5-3
`IsLinearMapping` 32.11-3
`IsLinearMappingsModule` 61.10-9
`IsLineByLineProfileActive` 7.8-19
`IsList` 21.1-1
`IsListDefault` 21.12-3
`IsListOrCollection` 30.3-1
`IsLogOrderedFFE` 59.1-3
`IsLookupDictionary` 28.3-3
`IsLowerAlphaChar` 27.5-2
`IsLowerTriangularMat` 24.4-11
`IsLowerTriangularMatrix` 24.4-11
`IsMagma` 35.1-1
`IsMagmaHomomorphism` 32.8-1
`IsMagmaRingModuloRelations` 65.4-4
`IsMagmaRingModuloSpanOfZero` 65.5-2
`IsMagmaRingObjDefaultRep` 65.2-1
`IsMagmaWithInverses` 35.1-4
`IsMagmaWithInversesIfNonzero` 35.1-3
`IsMagmaWithOne` 35.1-2
`IsMagmaWithZeroAdjoined` 35.2-12
`IsMapping` 32.3-3
`IsMatchingSublist` 21.17-1
`IsMatrix` 24.2-1
`IsMatrixGroup` 44.1-1
`IsMatrixModule` 57.3-7
`IsMatrixSpace` 61.9-2
`IsMersenneTwister` 14.7-4
`IsMinimalNonmonomial` 75.5-1
`IsModuloPcgs` 45.9-2
`IsMonoid` 51.2-1
`IsMonomial`, for a character table 71.8-5
`IsMonomial`, for positive integers 75.4-3
`IsMonomialGroup` 39.15-9
`IsMonomialMatrix` 24.4-8
`IsMonomialNumber` 75.4-3
`IsMonomialOrdering` 66.17-1
`IsMultiplicativeElement` 31.14-10
`IsMultiplicativeElementWithInverse` 31.14-13
`IsMultiplicativeElementWithOne` 31.14-11
`IsMultiplicativeElementWithZero` 31.14-12
`IsMultiplicativeGeneralizedRowVector` 21.12-2
`IsMultiplicativeZero` 35.4-11
`IsMutable` 12.6-2
`IsMutableBasis` 61.8-1
`IsNaN` 19.2-9
`IsNaturalAlternatingGroup` 43.4-1
`IsNaturalGL` 44.4-2
`IsNaturalGLnZ` 44.6-4
`IsNaturalSL` 44.4-4
`IsNaturalSLnZ` 44.6-5
`IsNaturalSymmetricGroup` 43.4-1
`IsNearAdditiveElement` 31.14-2
`IsNearAdditiveElementWithInverse` 31.14-6
`IsNearAdditiveElementWithZero` 31.14-4
`IsNearAdditiveGroup` 55.1-3
`IsNearAdditiveMagma` 55.1-1
`IsNearAdditiveMagmaWithInverses` 55.1-3
`IsNearAdditiveMagmaWithZero` 55.1-2
`IsNearlyCharacterTable` 71.4-1
`IsNearRingElement` 31.14-15
`IsNearRingElementWithInverse` 31.14-19
`IsNearRingElementWithOne` 31.14-17
`IsNegInfinity` 18.2-1
`IsNegRat` 17.2-3
`IsNilpotent`, for a character table 71.8-5
`IsNilpotent`, for groups with pcgs 45.16
`IsNilpotentElement` 64.9-5
`IsNilpotentGroup` 39.15-3
`IsNilpotentTom` 70.8-1
`IsNInfinity` 19.2-9
`IsNonabelianSimpleGroup` 39.15-10
`IsNonassocWord` 36.1-3
`IsNonassocWordCollection` 36.1-4
`IsNonassocWordWithOne` 36.1-3
`IsNonassocWordWithOneCollection` 36.1-4
`IsNonnegativeIntegers` 14.1-2
`IsNonSPGeneralMapping` 32.14-1
`IsNonTrivial` 30.4-4
`IsNormal` 39.3-6
`IsNormalBasis` 61.7-3
`IsNotIdenticalObj` 12.5-2
`IsNumberField` 60.2-2
`IsObject` 12.1-1
`IsOddInt` 14.2-5
isomorphic, pc group 46.4-8 46.5-2
`IsomorphicSubgroups` 40.9-5
`IsomorphismFpAlgebra` 62.10-10
`IsomorphismFpGroup` 47.11-1
`IsomorphismFpGroup`, for subgroups of fp groups 47.12
`IsomorphismFpGroupByGenerators` 47.11-2
`IsomorphismFpGroupByGeneratorsNC` 47.11-2
`IsomorphismFpGroupByPcgs` 46.3-2
`IsomorphismFpMonoid` 52.2-3
`IsomorphismFpSemigroup` 52.2-3
`IsomorphismGroups` 40.9-1
`IsomorphismMatrixAlgebra` 62.10-11
`IsomorphismPartialPermMonoid` 54.7-6
`IsomorphismPartialPermSemigroup` 54.7-6
`IsomorphismPcGroup` 46.5-2
`IsomorphismPermGroup` 43.3-1
for Imf matrix groups 50.7-5
`IsomorphismPermGroupImfGroup` 50.7-6
`IsomorphismReesMatrixSemigroup` 51.9-3
`IsomorphismReesZeroMatrixSemigroup` 51.9-3
`IsomorphismRefinedPcGroup` 46.4-8
`IsomorphismRepStruct` 31.5
isomorphisms, find all 40.9-1
`IsomorphismSCAlgebra`, for an algebra 62.10-12
w.r.t. a given basis 62.10-12
`IsomorphismSimplifiedFpGroup` 47.12-1
`IsomorphismSpecialPcGroup` 46.5-3
`IsomorphismTransformationMonoid` 53.7-5
`IsomorphismTransformationSemigroup` 53.7-5
`IsomorphismTypeInfoFiniteSimpleGroup`, for a character table 71.8-5
for a group 39.15-12
for a group order 39.15-12
`IsOne` 31.10-5
`IsOperation` 78.1-1
`IsOrdering` 34.1-1
`IsOrderingOnFamilyOfAssocWords` 34.4-1
`IsOrdinaryMatrix` 24.2-2
`IsOrdinaryTable` 71.4-1
`IsOutputStream` 10.1-6
`IsOutputTextNone` 10.1-8
`IsOutputTextStream` 10.1-7
`IsPackageLoaded` 76.3-3
`IsPackageMarkedForLoading` 76.3-4
`IsPackageMarkedForLoading` 76.12
`IsPadicExtensionNumber` 68.2-3
`IsPadicExtensionNumberFamily` 68.2-4
`IsParentPcgsFamilyPcgs` 46.1-4
`IsPartialOrderBinaryRelation` 33.2-6
`IsPartialPerm` 54.1-1
`IsPartialPermCollection` 54.1-2
`IsPartialPermMonoid` 54.7-1
`IsPartialPermSemigroup` 54.7-1
`IsPcGroup` 46.3-1
`IsPcGroupGeneralMappingByImages` 40.10-8
`IsPcGroupHomomorphismByImages` 40.10-8
`IsPcgs` 45.2-2
`IsPcgsCentralSeries` 45.11-5
`IsPcgsChiefSeries` 45.11-13
`IsPcgsElementaryAbelianSeries` 45.11-1
`IsPcgsPCentralSeriesPGroup` 45.11-9
`IsPerfect`, for a character table 71.8-5
`IsPerfectGroup` 39.15-5
`IsPerfectTom` 70.8-1
`IsPerm` 42.1-1
`IsPermCollColl` 42.1-2
`IsPermCollection` 42.1-2
`IsPermGroup` 43.1-1
`IsPermGroupGeneralMapping` 40.10-5
`IsPermGroupGeneralMappingByImages` 40.10-5
`IsPermGroupHomomorphism` 40.10-5
`IsPermGroupHomomorphismByImages` 40.10-5
`IsPGroup` 39.15-19
`IsPInfinity` 19.2-9
`IsPlistRep` 21.24-1
`IsPNilpotent` 39.15-25
`IsPolycyclicGroup` 39.15-7
`IsPolynomial` 66.4-4
`IsPolynomialDefaultRep` 66.21-5
`IsPolynomialFunction` 66.4-1
`IsPolynomialFunctionsFamily` 66.19-2
`IsPolynomialRing` 66.15-4
`IsPosInt` 14.2-2
`IsPositionalObjectRep` 13.4-1
`IsPositiveIntegers` 14.1-2
`IsPosRat` 17.2-2
`IsPowerfulPGroup` 39.15-20
`IsPreimagesByAsGroupGeneralMappingByImages` 40.10-4
`IsPreOrderBinaryRelation` 33.2-5
`IsPrime` 56.5-8
`IsPrimeField` 58.2-5
`IsPrimeInt` 14.4-2
`IsPrimeOrdersPcgs` 45.4-3
`IsPrimePowerInt` 14.4-4
`IsPrimitive`, for a group, an action domain, etc. 41.10-7
for a permutation group 41.10-7
for an external set 41.10-7
`IsPrimitiveCharacter` 75.3-2
`IsPrimitivePolynomial` 66.4-12
`IsPrimitiveRootMod` 15.3-4
`IsProbablyPrimeInt` 14.4-2
`IsProperty` 13.7-1
`IsPseudoCanonicalBasisFullHomModule` 61.10-8
`IsPSolubleCharacterTable` 71.12-3
`IsPSolubleCharacterTableOp` 71.12-3
`IsPSolvable` 39.15-24
`IsPSolvableCharacterTable` 71.12-3
`IsPSolvableCharacterTableOp` 71.12-3
`IsPurePadicNumber` 68.1-5
`IsPurePadicNumberFamily` 68.1-6
`IsQuasiPrimitive` 75.3-3
`IsQuaternion` 62.8-8
`IsQuaternionCollColl` 62.8-8
`IsQuaternionCollection` 62.8-8
`IsQuaternionGroup` 50.1-9
`IsQuickPositionList` 21.23-1
`IsQuotientSemigroup` 51.7-1
`IsRandomSource` 14.7-1
`IsRange` 21.22-1
`IsRangeRep` 21.22-2
`IsRat` 17.2-1
`IsRationalFunction` 66.4-1
`IsRationalFunctionDefaultRep` 66.21-1
`IsRationalFunctionsFamily` 66.19-2
`IsRationalMatrixGroup` 44.6-2
`IsRationals` 17.1-1
`IsRationalsPolynomialRing` 66.15-7
`IsRDistributive` 56.4-4
`IsReadableFile` 9.6-2
`IsReadOnlyGlobal` 4.9-1
`IsRecord` 29.1-1
`IsRecordCollColl` 29.1-1
`IsRecordCollection` 29.1-1
`IsRectangularTable` 21.1-5
`IsReduced` 38.1-7
`IsReductionOrdering` 34.4-3
`IsReesCongruence` 51.6-2
`IsReesCongruenceSemigroup` 51.4-7
`IsReesMatrixSemigroup` 51.9-7
`IsReesMatrixSemigroupElement` 51.9-4
`IsReesMatrixSubsemigroup` 51.9-6
`IsReesZeroMatrixSemigroup` 51.9-7
`IsReesZeroMatrixSemigroupElement` 51.9-4
`IsReesZeroMatrixSubsemigroup` 51.9-6
`IsReflexiveBinaryRelation` 33.2-1
`IsRegular`, for a group, an action domain, etc. 41.10-5
for a permutation group 41.10-5
for an external set 41.10-5
`IsRegularDClass` 51.8-12
`IsRegularSemigroup` 51.4-1
`IsRegularSemigroupElement` 51.4-2
`IsRelativelySM`, for a character 75.4-6
for a group 75.4-6
`IsRepresentation` 13.4-2
`IsRestrictedJacobianElement` 31.15-5
`IsRestrictedJacobianElementCollColl` 31.15-5
`IsRestrictedJacobianElementCollection` 31.15-5
`IsRestrictedLieAlgebra` 64.8-1
`IsRestrictedLieObject` 64.1-2
`IsRestrictedLieObjectCollection` 64.1-2
`IsRewritingSystem` 38.1-1
`IsRightAlgebraModuleElement` 62.11-10
`IsRightAlgebraModuleElementCollection` 62.11-10
`IsRightCoset` 39.7-4
`IsRightIdeal` 56.2-3
`IsRightIdealInParent` 56.2-3
`IsRightModule` 57.1-7
`IsRightOperatorAdditiveGroup` 57.1-6
`IsRightSemigroupIdeal` 51.5-3
`IsRing` 56.1-1
`IsRingElement` 31.14-16
`IsRingElementWithInverse` 31.14-20
`IsRingElementWithOne` 31.14-18
`IsRingGeneralMapping` 32.12-1
`IsRingHomomorphism` 32.12-1
`IsRingWithOne` 56.3-1
`IsRingWithOneGeneralMapping` 32.12-2
`IsRingWithOneHomomorphism` 32.12-2
`IsRootSystem` 64.6-3
`IsRootSystemFromLieAlgebra` 64.6-4
`IsRowModule` 57.3-6
`IsRowSpace` 61.9-1
`IsRowVector` 23.1-1
`IsScalar` 31.14-20
`IsSemiEchelonized` 61.9-7
`IsSemigroup` 51.1-1
`IsSemigroupCongruence` 51.6-1
`IsSemigroupIdeal` 51.5-3
`IsSemiRegular`, for a group, an action domain, etc. 41.10-4
for a permutation group 41.10-4
for an external set 41.10-4
`IsSet` 21.17-4
`IsShortLexLessThanOrEqual` 37.3-3
`IsShortLexOrdering` 34.4-7
`IsSimple`, for a character table 71.8-5
`IsSimpleAlgebra` 62.8-6
`IsSimpleGroup` 39.15-10
`IsSimpleSemigroup` 51.4-4
`IsSingleValued` 32.3-2
`IsSL` 44.4-3
`IsSolvable`, for a character table 71.8-5
`IsSolvableGroup` 39.15-6
`IsSolvableTom` 70.8-1
`IsSortedList` 21.17-3
`IsSpecialLinearGroup` 44.4-3
`IsSpecialPcgs` 45.13-1
`IsSPGeneralMapping` 32.14-1
`IsSporadicSimple`, for a character table 71.8-5
`IsSSortedList` 21.17-4
`IsStandardIterator` 30.8-1
`IsStraightLineProgElm` 37.9-1
`IsStraightLineProgram` 37.8-1
`IsStream` 10.1-1
`IsString` 27.1-2
`IsStringRep` 27.4-1
`IsStruct` 31.6
`IsSubgroup` 39.3-5
`IsSubgroupFpGroup` 47.1-1
`IsSubgroupOfWholeGroupByQuotientRep` 47.13-2
`IsSubgroupSL` 44.4-5
`IsSubmonoidFpMonoid` 52.1-1
`IsSubnormal` 39.3-10
`IsSubnormallyMonomial`, for a character 75.4-5
for a group 75.4-5
`IsSubsemigroup` 51.1-4
`IsSubsemigroupFpSemigroup` 52.1-1
`IsSubset` 30.5-1
for interval floats 19.5-7
`IsSubsetBlist` 22.2-4
`IsSubsetLocallyFiniteGroup` 39.15-18
`IsSubsetSet` 21.19-3
`IsSubspacesVectorSpace` 61.4-2
`IsSubstruct` 31.8
`IsSupersolvable`, for a character table 71.8-5
`IsSupersolvable`, for groups with pcgs 45.16
`IsSupersolvableGroup` 39.15-8
`IsSurjective` 32.3-5
`IsSyllableAssocWordRep` 37.6-5
`IsSyllableWordsFamily` 37.6-6
`IsSymmetricBinaryRelation` 33.2-2
`IsSymmetricGroup` 43.4-2
`IsSymmetricInverseMonoid` 54.7-4
`IsSymmetricInverseSemigroup` 54.7-4
`IsTable` 21.1-4
`IsTableOfMarks` 70.6-2
`IsTableOfMarksWithGens` 70.10-3
`IsToPcGroupGeneralMappingByImages` 40.10-9
`IsToPcGroupHomomorphismByImages` 40.10-9
`IsToPermGroupGeneralMappingByImages` 40.10-6
`IsToPermGroupHomomorphismByImages` 40.10-6
`IsTotal` 32.3-1
`IsTotalOrdering` 34.3-2
`IsTransformation` 53.1-1
`IsTransformationCollection` 53.1-2
`IsTransformationMonoid` 53.7-1
`IsTransformationSemigroup` 53.7-1
`IsTransitive`, for a character 72.8-15
for a group, an action domain, etc. 41.10-1
for a permutation group 41.10-1
for an external set 41.10-1
`IsTransitiveBinaryRelation` 33.2-3
`IsTranslationInvariantOrdering` 34.4-2
`IsTrivial` 30.4-3
`IsTwoSidedIdeal` 56.2-3
`IsTwoSidedIdealInParent` 56.2-3
`IsUEALatticeElement` 64.14-1
`IsUEALatticeElementCollection` 64.14-1
`IsUEALatticeElementFamily` 64.14-1
`IsUniqueFactorizationRing` 56.4-2
`IsUnit` 56.5-1
`IsUnivariatePolynomial` 66.4-8
`IsUnivariatePolynomialRing` 66.16-2
`IsUnivariateRationalFunction` 66.4-6
`IsUnknown` 74.1-3
`IsUpperAlphaChar` 27.5-3
`IsUpperTriangularMat` 24.4-10
`IsUpperTriangularMatrix` 24.4-10
`IsValidIdentifier` 4.6-1
`IsVector` 31.14-14
`IsVectorSpace` 61.1-1
`IsVirtualCharacter` 72.8-2
`IsWeightLexOrdering` 34.4-9
`IsWeightRepElement` 64.14-4
`IsWeightRepElementCollection` 64.14-4
`IsWeightRepElementFamily` 64.14-4
`IsWellFoundedOrdering` 34.3-1
`IsWeylGroup` 64.7-1
`IsWholeFamily` 30.4-5
`IsWLetterAssocWordRep` 37.6-3
`IsWLetterWordsFamily` 37.6-4
`IsWord` 36.1-1
`IsWordCollection` 36.1-2
`IsWordWithInverse` 36.1-1
`IsWordWithOne` 36.1-1
`IsWreathProductOrdering` 34.4-14
`IsWritableFile` 9.6-3
`IsXInfinity` 19.2-9
`IsZero` 31.10-6
`IsZeroGroup` 51.4-6
`IsZeroSimpleSemigroup` 51.4-5
`IsZeroSquaredElement` 31.15-6
`IsZeroSquaredElementCollColl` 31.15-6
`IsZeroSquaredElementCollection` 31.15-6
`IsZeroSquaredRing` 56.4-7
`IsZmodnZObj` 14.5-4
`IsZmodnZObjNonprime` 14.5-4
`IsZmodpZObj` 14.5-4
`IsZmodpZObjLarge` 14.5-4
`IsZmodpZObjSmall` 14.5-4
`Iterated` 21.20-27
`Iterator` 30.8-1
iterator, for low index subgroups 47.10-1
`IteratorByBasis` 61.6-6
`IteratorByFunctions` 30.8-8
`IteratorList` 30.8-6
`IteratorOfCartesianProduct`, for a list of lists 21.20-17
for several lists 21.20-17
`IteratorOfCombinations` 16.2-2
`IteratorOfPartitions` 16.2-19
`IteratorOfTuples` 16.2-10
`IteratorSorted` 30.8-2
`IteratorStabChain` 43.10-10
\(j_N\) (irrational value) 18.4-4
`Jacobi` 15.4-1
`JenningsLieAlgebra` 64.8-4
`JenningsSeries` 39.17-14
`JoinEquivalenceRelations` 33.6-3
`JoinOfIdempotentPartialPermsNC` 54.2-4
`JoinOfPartialPerms` 54.2-4
`JoinStringsWithSeparator` 27.7-20
`JordanDecomposition` 24.13-3
\(k_N\) (irrational value) 18.4-4
`KappaPerp` 64.9-4
`KB_REW` 52.5-2
kernel, group homomorphism 40.2
of a matrix 24.7-4
`KernelOfAdditiveGeneralMapping` 32.10-5
`KernelOfCharacter` 72.8-9
`KernelOfMultiplicativeGeneralMapping` 32.9-5
`KernelOfTransformation` 53.5-12
`KeyDependentOperation` 85.1-1
`KillingMatrix` 64.9-3
`KnownAttributesOfObject` 13.5-2
`KnownPropertiesOfObject` 13.7-2
`KnownTruePropertiesOfObject` 13.7-3
`KnowsDictionary` 28.3-5
`KnowsHowToDecompose` 39.26-7
`KnuthBendixRewritingSystem`, for a monoid and a reduction ordering 52.5-3
for a semigroup and a reduction ordering 52.5-3
Krasner-Kaloujnine theorem 49.4-4
`KroneckerProduct` 24.5-8
`KuKGenerators` 49.4-4
\(l_N\) (irrational value) 18.4-4
`Lambda` 15.2-3
larger or equal 4.12
larger test 4.12
`LargerQuotientBySubgroupAbelianization` 47.14-7
`LargestElementGroup` 39.22-2
`LargestElementStabChain` 43.10-14
`LargestImageOfMovedPoint`, for a partial permutation 54.3-15
for a partial permutation coll 54.3-15
for a transformation 53.5-10
for a transformation coll 53.5-10
`LargestMovedPoint`, for a list or collection of permutations 42.3-2
for a partial perm 54.3-13
for a partial perm coll 54.3-13
for a permutation 42.3-2
for a transformation 53.5-8
for a transformation coll 53.5-8
`LargestUnknown` 74.1-2
`last` 6.1
`last2` 6.1
`last3` 6.1
`LastSystemError` 9.1-1
LaTeX, for a decomposition matrix 71.11-4
for GAP objects 27.11
for permutation characters 72.13
for the result of a straight line program 37.8-5
`LaTeXStringDecompositionMatrix` 71.11-5
lattice base reduction 25.5-1 25.5-2
lattice basis reduction, for virtual characters 72.10-4
`LatticeByCyclicExtension` 39.21-1
`LatticeGeneratorsInUEA` 64.14-2
`LatticeSubgroups` 39.20-1
`LatticeSubgroupsByTom` 70.3-3
`LaurentPolynomialByCoefficients` 66.13-1
`LaurentPolynomialByExtRep` 66.22-3
`LaurentPolynomialByExtRepNC` 66.22-3
`LClassOfHClass` 51.8-5
`Lcm`, for (a ring and) a list of elements 56.7-6
for (a ring and) several elements 56.7-6
`LcmInt` 14.3-6
`LcmOp` 56.7-7
`LdExp` 19.2-10
`LeadCoeffsIGS` 45.7-7
`LeadingCoefficient` 66.6-3
`LeadingCoefficientOfPolynomial` 66.17-4
`LeadingExponentOfPcElement` 45.5-5
`LeadingMonomial` 66.6-4
`LeadingMonomialOfPolynomial` 66.17-2
`LeadingTermOfPolynomial` 66.17-3
left cosets 39.7-4
`LeftActingAlgebra` 62.11-11
`LeftActingDomain` 57.1-11
`LeftActingRingOfIdeal` 56.2-10
`LeftAlgebraModule` 62.11-4
`LeftAlgebraModuleByGenerators` 62.11-1
`LeftDerivations` 64.2-6
`LeftIdeal` 56.2-1
`LeftIdealByGenerators` 56.2-5
`LeftIdealNC` 56.2-2
`LeftModuleByGenerators` 57.1-10
`LeftModuleByHomomorphismToMatAlg` 62.11-17
`LeftModuleGeneralMappingByImages` 61.10-1
`LeftModuleHomomorphismByImages` 61.10-2
`LeftModuleHomomorphismByImagesNC` 61.10-2
`LeftModuleHomomorphismByMatrix` 61.10-3
`LeftOne`, for a partial perm 54.3-21
for a transformation 53.5-22
`LeftQuotient` 31.12-2
`LeftQuotient`, for words 37.4
`LeftShiftRowVector` 23.5-1
legacy 77.
`Legendre` 15.4-2
`Length` 21.17-5
for a associative word 37.4-1
length, of a word 37.4-1
`LengthsTom` 70.7-3
`LengthWPObj` 86.2-1
`LenstraBase` 60.3-2
`LessThanFunction` 34.3-5
`LessThanOrEqualFunction` 34.3-6
`LetterRepAssocWord` 37.6-8
`LevelsOfGenerators` 34.4-15
`LeviMalcevDecomposition`, for Lie algebras 62.9-19
`LexicographicOrdering` 34.4-5
`LGFirst` 45.13-5
`LGLayers` 45.13-4
`LGLength` 45.13-6
`LGWeights` 45.13-3
library tables 71.3
`LieAlgebra`, for an associative algebra 64.2-3
for field and generators 64.2-3
`LieAlgebraByStructureConstants` 64.2-1
`LieBracket` 31.12-4
`LieCenter` 64.3-1
`LieCentralizer` 64.3-2
`LieCentre` 64.3-1
`LieCoboundaryOperator` 64.12-5
`LieDerivedSeries` 64.4-1
`LieDerivedSubalgebra` 64.3-4
`LieFamily` 64.1-3
`LieLowerCentralSeries` 64.4-2
`LieNilRadical` 64.3-5
`LieNormalizer` 64.3-3
`LieObject` 64.1-1
`LieSolvableRadical` 64.3-6
`LieUpperCentralSeries` 64.4-3
`LiftedInducedPcgs` 45.10-4
`LiftedPcElement` 45.10-3
`LinearAction` 45.14-2
`LinearActionLayer` 45.14-3
`LinearCharacters`, for a character table 71.8-3
for a group 71.8-3
`LinearCombination` 61.6-4
`LinearCombinationPcgs` 45.5-7
`LinearIndependentColumns` 25.4-2
`LinearOperation` 45.14-2
`LinearOperationLayer` 45.14-3
`LinesOfStraightLineProgram` 37.8-3
`List`, for a collection 30.3-5
for a list (and a function) 21.20-19
list, sorted 21.17-3
list and non-list, difference 21.13-4
left quotient 21.14-6
mod 21.14-5
product 21.14-3
quotient 21.14-4
list assignment, operation 21.2
list boundedness test, operation 21.2
list element, access 21.3
assignment 21.4
operation 21.2
list equal, comparison 21.10
list of available books 2.2
list smaller, comparison 21.10
list unbind, operation 21.2
`ListBlist` 22.2-2
`ListN` 21.20-28
`ListOfDigits` 14.2-11
`ListOp`, for IsVectorObj, IsFunction 26.4-3
`ListPerm` 42.5-1
`ListStabChain` 43.10-8
`ListTransformation` 53.5-2
`ListWithIdenticalEntries` 21.15-1
`ListX` 21.21-1
`LLL` 72.10-4
LLL algorithm, for Gram matrices 25.5-2
for vectors 25.5-1
for virtual characters 72.10-4
`LLLReducedBasis` 25.5-1
`LLLReducedGramMat` 25.5-2
`LoadAllPackages` 76.18-3
`LoadDynamicModule` 76.3-12
`LoadPackage` 76.2-1
`local` 4.23
local namespace, for a GAP package 76.10
`LocationFunc` 5.1-6
`Log` 19.2-10
`Log10` 19.2-10
`Log1p` 19.2-10
`Log2` 19.2-10
logarithm, discrete 15.3-2
of a root of unity 18.1-13
`LogFFE` 59.2-2
logical 20.
Logical conjunction 20.4-2
Logical disjunction 20.4-1
Logical negation 20.4-3
logical operations 20.4
`LogInt` 14.2-8
`LogMod` 15.3-2
`LogModShanks` 15.3-2
`LogPackageLoadingMessage` 76.2-5
`LogPackageLoadingMessage` 76.14-2
`LogTo`, for a filename 9.7-4
for streams 10.4-5
stop logging 9.7-4
`LongestWeylWordPerm` 64.7-5
`LookupDictionary` 28.3-6
loop, for 4.20
read eval print 6.1
repeat 4.19
while 4.18
loop over iterator 4.20
loop over object 4.20
loop over range 4.20
loops, leaving 4.21
restarting 4.22
`LowercaseChar` 27.7-12
`LowercaseString` 27.7-11
`LowerCentralSeriesOfGroup` 39.17-11
`LowIndexSubgroups` 39.19-6
`LowIndexSubgroupsFpGroup` 47.10-1
`LowIndexSubgroupsFpGroupIterator` 47.10-1
`LowLayerSubgroups` 39.20-6
`LQUO`, for a permutation and transformation 53.4
for a permutation or partial permutation and partial permutation 54.5
`Lucas` 16.3-2
\(m_N\) (irrational value) 18.4-4
`Magma` 35.2-1
`MagmaByGenerators` 35.2-4
`MagmaByMultiplicationTable` 35.3-1
`MagmaElement` 35.3-4
`MagmaHomomorphismByFunctionNC` 32.8-2
`MagmaRingModuloSpanOfZero` 65.5-3
`MagmaWithInverses` 35.2-3
`MagmaWithInversesByGenerators` 35.2-6
`MagmaWithInversesByMultiplicationTable` 35.3-3
`MagmaWithOne` 35.2-2
`MagmaWithOneByGenerators` 35.2-5
`MagmaWithOneByMultiplicationTable` 35.3-2
`MagmaWithZeroAdjoined` 35.2-13
`MakeBitfields` 14.8-1
`MakeConfluent` 38.1-11
`MakeConstantGlobal` 4.9-4
`MakeFloat` 19.2-1
`MakeImmutable` 12.6-4
`MakeReadOnlyGlobal` 4.9-2
`MakeReadWriteGlobal` 4.9-3
map, parametrized 73.5
`MappedWord` 36.3-1
`MappingByFunction`, by function (and inverse function) between two domains 32.2-2
by function and function that computes one preimage 32.2-2
`MappingGeneratorsImages` 40.10-2
`MappingPermListList` 42.5-3
maps 73.
`MarksTom` 70.7-1
`MatAlgebra` 62.5-4
`MatClassMultCoeffsCharTable` 71.12-9
`MathieuGroup` 50.1-13
`MatLieAlgebra` 64.2-5
matrices, commutator 24.3
`Matrix` 51.9-8
matrix automorphisms 73.2-2
matrix spaces 61.9
`MatrixAlgebra` 62.5-4
`MatrixAutomorphisms` 71.22-1
`MatrixByBlockMatrix` 24.17-3
`MatrixLieAlgebra` 64.2-5
`MatrixOfAction` 62.11-15
`MatScalarProducts` 72.8-6
`MatTom` 70.7-10
`MaximalAbelianQuotient` 39.18-4
`MaximalBlocks`, for a group, an action domain, etc. 41.11-2
for an external set 41.11-2
`MaximalNormalSubgroups` 39.19-10
`MaximalSubgroupClassReps` 39.19-5
`MaximalSubgroups` 39.19-8
`MaximalSubgroups`, for groups with pcgs 45.16
`MaximalSubgroupsLattice` 39.20-4
`MaximalSubgroupsTom` 70.9-12
`Maximum`, for a list 21.20-13
for various objects 21.20-13
`MaximumList` 21.20-15
meet strategy 87.2-4
`MeetEquivalenceRelations` 33.6-3
`MeetMaps` 73.5-8
`MeetOfPartialPerms` 54.2-5
`MemoizePosIntFunction` 5.3-1
`memory_allocated` 6.1
`memory_allocated` 7.7-2
`MemoryUsage` 12.8-5
method 78.
`MicroSleep` 7.6-5
`Mid` 19.5-3
`MinimalElementCosetStabChain` 43.10-13
`MinimalFaithfulPermutationDegree` 39.20-9
`MinimalGeneratingSet` 39.22-3
`MinimalGeneratingSet`, for groups with pcgs 45.16
`MinimalNonmonomialGroup` 75.5-2
`MinimalNormalSubgroups` 39.19-11
`MinimalPolynomial` 66.8-1
over a field 58.3-2
`MinimalPolynomial`, over a ring 66.8
`MinimalStabChain` 43.8-5
`MinimalSupergroupsLattice` 39.20-5
`MinimalSupergroupsTom` 70.9-13
`MinimizedBombieriNorm` 66.12-2
`Minimum`, for a list 21.20-14
for various objects 21.20-14
`MinimumList` 21.20-15
`MinusCharacter` 73.6-5
`mod` 4.13
arithmetic operators 4.13
for character tables 71.7
mod, Integers 14.5-2
Laurent polynomials 66.2
lists 21.14-5
rationals 4.13
`mod`, residue class rings 14.5
modular inverse 4.13
modular remainder 4.13
modular roots 15.4-5
`ModuleByRestriction` 62.11-21
`ModuleOfExtension` 46.8-7
modulo 4.13
arithmetic operators 4.13
residue class rings 14.5
`ModuloPcgs` 45.9-1
`MoebiusMu` 15.5-3
`MoebiusTom` 70.7-11
`MolienSeries` 72.12-1
`MolienSeriesInfo` 72.12-2
`MolienSeriesWithGivenDenominator` 72.12-4
`Monoid`, for a list 51.2-2
for various generators 51.2-2
`MonoidByGenerators` 51.2-4
`MonoidByMultiplicationTable` 51.2-10
`MonoidOfRewritingSystem` 52.5-4
`MonomialComparisonFunction` 66.17-5
`MonomialExtGrlexLess` 66.17-14
`MonomialExtrepComparisonFun` 66.17-6
`MonomialGrevlexOrdering` 66.17-9
`MonomialGrlexOrdering` 66.17-8
`MonomialLexOrdering` 66.17-7
`MonomialTotalDegreeLess` 77.4
monomorphisms, find all 40.9-5
`MorClassLoop` 40.9-6
`MostFrequentGeneratorFpGroup` 47.6-8
`MovedPoints`, for a list or collection of permutations 42.3-3
for a partial perm 54.3-9
for a partial perm coll 54.3-9
for a permutation 42.3-3
for a transformation 53.5-5
for a transformation coll 53.5-5
`MTX` 69.3-1
`MTX.BasesCompositionSeries` 69.7-9
`MTX.BasesMaximalSubmodules` 69.7-5
`MTX.BasesMinimalSubmodules` 69.7-4
`MTX.BasesMinimalSupermodules` 69.7-8
`MTX.BasesSubmodules` 69.7-3
`MTX.BasisInOrbit` 69.11-4
`MTX.BasisModuleEndomorphisms` 69.9-2
`MTX.BasisModuleHomomorphisms` 69.9-1
`MTX.BasisRadical` 69.7-6
`MTX.BasisSocle` 69.7-7
`MTX.CollectedFactors` 69.7-11
`MTX.CompositionFactors` 69.7-10
`MTX.DegreeSplittingField` 69.5-3
`MTX.Dimension` 69.4-2
`MTX.Distinguish` 69.10-5
`MTX.Field` 69.4-3
`MTX.Generators` 69.4-1
`MTX.HomogeneousComponents` 69.6-3
`MTX.Homomorphism` 69.10-3
`MTX.Homomorphisms` 69.10-4
`MTX.Indecomposition` 69.6-2
`MTX.InducedAction` 69.8-5
`MTX.InducedActionFactorMatrix` 69.8-4
`MTX.InducedActionFactorModule` 69.8-3
`MTX.InducedActionSubMatrix` 69.8-4
`MTX.InducedActionSubMatrixNB` 69.8-4
`MTX.InducedActionSubmodule` 69.8-2
`MTX.InducedActionSubmoduleNB` 69.8-2
`MTX.InvariantBilinearForm` 69.11-1
`MTX.InvariantQuadraticForm` 69.11-3
`MTX.InvariantSesquilinearForm` 69.11-2
`MTX.IsAbsolutelyIrreducible` 69.5-2
`MTX.IsEquivalent` 69.10-1
`MTX.IsIndecomposable` 69.6-1
`MTX.IsIrreducible` 69.5-1
`MTX.IsomorphismIrred` 69.10-2
`MTX.IsomorphismModules` 69.9-3
`MTX.ModuleAutomorphisms` 69.9-4
`MTX.NormedBasisAndBaseChange` 69.8-1
`MTX.OrthogonalSign` 69.11-5
`MTX.ProperSubmoduleBasis` 69.7-2
`MTX.SubGModule` 69.7-1
`MTX.SubmoduleGModule` 69.7-1
multiplication 4.13
matrices 24.3
matrix and matrix list 24.3 24.3
matrix and scalar 24.3
matrix and vector 24.3
operation 31.12-1
scalar and matrix 24.3
scalar and matrix list 24.3 24.3
scalar and vector 23.2
vector and matrix 24.3
vector and matrix list 24.3
vector and scalar 23.2
vectors 23.2
`MultiplicationTable`, for a list of elements 35.3-5
for a magma 35.3-5
multiplicative order of an integer 15.3-1
`MultiplicativeNeutralElement` 35.4-10
`MultiplicativeZero` 35.4-11
for a partial perm 54.3-23
`MultiplicativeZeroOp` 31.10-4
multiplicity, of constituents of a group character 72.8-5
Multiplier 39.24-3
multisets 21.19
`MultRowVector` 77.4
`MultVector` 23.4-3
`MultVectorLeft` 23.4-3
Murnaghan components 72.11-4 72.11-5
`MutableBasis` 61.8-2
`MutableBasisOfClosureUnderAction` 62.9-11
`MutableBasisOfIdealInNonassociativeAlgebra` 62.9-13
`MutableBasisOfNonassociativeAlgebra` 62.9-12
`MutableIdentityMat` 77.4
`MutableNullMat` 77.4
`Name` 12.8-2
`NameFunction` 5.1-1
`NameRNam` 29.7-1
`NamesFilter` 13.2-2
`NamesGVars` 4.9-9
`NamesLocalVariablesFunction` 5.1-3
`NamesOfComponents` 79.2-1
`NamesOfFusionSources` 73.3-5
namespace 4.6-1 4.9
`NamesSystemGVars` 4.9-10
`NamesUserGVars` 4.9-11
`NanosecondsSinceEpoch` 7.6-3
`NanosecondsSinceEpochInfo` 7.6-3
`NaturalCharacter`, for a group 72.7-2
for a homomorphism 72.7-2
`NaturalHomomorphismByGenerators` 32.8-3
`NaturalHomomorphismByIdeal` 56.8-4
for an algebra and an ideal 62.10-7
`NaturalHomomorphismByNormalSubgroup` 39.18-1
`NaturalHomomorphismByNormalSubgroupNC` 39.18-1
`NaturalHomomorphismBySubAlgebraModule` 62.11-22
`NaturalHomomorphismBySubspace` 61.10-4
`NaturalHomomorphismOfLieAlgebraFromNilpotentGroup` 64.8-6
`NaturalLeqPartialPerm` 54.5-4
`NaturalPartialOrder` 54.7-5
`NearAdditiveGroup` 55.2-3
`NearAdditiveGroupByGenerators` 55.2-6
`NearAdditiveMagma` 55.2-1
`NearAdditiveMagmaByGenerators` 55.2-4
`NearAdditiveMagmaWithZero` 55.2-2
`NearAdditiveMagmaWithZeroByGenerators` 55.2-5
`NearlyCharacterTablesFamily` 71.4-3
needed package 76.11
negative number 4.13
`NegativeRoots` 64.6-8
`NegativeRootVectors` 64.6-10
`NestingDepthA` 21.12-4
`NestingDepthM` 21.12-5
`NewAttribute` 13.5-3
`NewAttribute`, example 80.5
`NewCategory` 13.3-4
`NewConstructor` 78.2-1
`NewDictionary` 28.2-1
`NewFamily` 13.1-2
`NewFilter` 13.8-1
`NewFloat` 19.2-1
`NewInfoClass` 7.4-1
newline 4.4
`NewmanInfinityCriterion` 47.16-2
`NewOperation` 78.1-4
`NewProperty` 13.7-4
`NewRepresentation` 13.4-4
`NewRepresentation`, example 80.6
`NewType` 13.9-3
`NextIterator` 30.8-5
`NextPrimeInt` 14.4-5
`NF` 60.1-2
`NiceAlgebraMonomorphism` 62.10-9
`NiceBasis` 61.11-4
`NiceBasisFiltersInfo` 61.12-2
`NiceFreeLeftModule` 61.11-1
`NiceFreeLeftModuleInfo` 61.11-3
`NiceMonomorphism` 40.5-2
`NiceMonomorphismAutomGroup` 40.8-2
`NiceObject` 40.5-3
`NiceVector` 61.11-2
`NilpotencyClassOfGroup` 39.15-4
`NilpotentQuotientOfFpLieAlgebra` 64.11-2
`NK` 18.4-5
`NOAUTO` 76.2-2
`NonabelianExteriorSquare` 39.24-5
`NonnegativeIntegers` 14.1-1
`NonnegIntScalarProducts` 73.5-15
`NonNilpotentElement` 64.9-6
`Norm` 58.3-4
for a class function 72.8-7
for floats 19.2-10
`Norm`, of character 72.8-7
`NormalBase` 58.3-7
`NormalClosure` 39.11-4
`NormalFormIntMat` 25.2-9
`NormalIntersection` 39.11-5
`NormalizedElementOfMagmaRingModuloRelations` 65.4-3
`NormalizedWhitespace` 27.7-18
normalizer 39.11
`Normalizer`, for a group and a group element 39.11-1
for two groups 39.11-1
`NormalizerInGLnZ` 44.6-7
`NormalizerInGLnZBravaisGroup` 44.6-14
`NormalizersTom` 70.9-4
`NormalizerTom` 70.9-4
`NormalizerViaRadical` 39.27-1
`NormalizeWhitespace` 27.7-17
`NormalSeriesByPcgs` 45.11-18
`NormalSubgroupClasses` 71.23-3
`NormalSubgroupClassesInfo` 71.23-1
`NormalSubgroups` 39.19-9
`NormedRowVector` 23.2-1
`NormedRowVectors` 61.9-11
`NormedVectors` 77.4
`not` 20.4-3
`NrArrangements` 16.2-5
`NrBasisVectors` 61.8-3
`NrCombinations` 16.2-3
`NrComponentsOfPartialPerm` 54.3-19
`NrComponentsOfTransformation` 53.5-18
`NrConjugacyClasses` 39.10-5
for a character table 71.8-5
`NrConjugacyClassesGL` 50.3-1
`NrConjugacyClassesGU` 50.3-1
`NrConjugacyClassesPGL` 50.3-1
`NrConjugacyClassesPGU` 50.3-1
`NrConjugacyClassesPSL` 50.3-1
`NrConjugacyClassesPSU` 50.3-1
`NrConjugacyClassesSL` 50.3-1
`NrConjugacyClassesSLIsogeneous` 50.3-1
`NrConjugacyClassesSU` 50.3-1
`NrConjugacyClassesSUIsogeneous` 50.3-1
`NrDerangements` 16.2-15
`NrFixedPoints`, for a partial perm 54.3-10
for a partial perm coll 54.3-10
`NrInputsOfStraightLineProgram` 37.8-4
`NrMovedPoints`, for a list or collection of permutations 42.3-4
for a partial perm 54.3-11
for a partial perm coll 54.3-11
for a permutation 42.3-4
for a transformation 53.5-6
for a transformation coll 53.5-6
`NrOrderedPartitions` 16.2-22
`NrPartitions` 16.2-20
`NrPartitionsSet` 16.2-17
`NrPartitionTuples` 16.2-31
`NrPermutationsList` 16.2-13
`NrPolyhedralSubgroups` 71.12-6
`NrRestrictedPartitions` 16.2-26
`NrSubsTom` 70.7-2
`NrTuples` 16.2-11
`NrUnorderedTuples` 16.2-7
`NthRootsInGroup` 39.10-10
`NullAlgebra` 62.5-5
`NullMat` 24.5-2
`NullspaceIntMat` 25.1-1
`NullspaceMat` 24.7-4
`NullspaceMatDestructive` 24.7-5
`NullspaceModN` 24.15-3
`NullspaceModQ` 24.15-3
`Number` 21.20-21
number, Bell 16.1-3
binomial 16.1-2
Stirling, of the first kind 16.1-5
Stirling, of the second kind 16.1-6
number field 60.2-2
number fields, Galois group 60.4
`NumberArgumentsFunction` 5.1-2
`NumberFFVector` 23.3-3
`NumberPerfectGroups` 50.6-4
`NumberPerfectLibraryGroups` 50.6-5
`NumberSmallRings` 56.9-2
`NumbersString` 27.7-24
`NumberSyllables` 37.5-1
`NumberTransformation` 53.2-6
numerator, of a rational 17.2-4
`NumeratorOfModuloPcgs` 45.9-3
`NumeratorOfRationalFunction` 66.4-2
`NumeratorRat` 17.2-4
`ObjByExtRep` 79.8-1
for creating a UEALattice element 64.14-3
`Objectify` 79.1-1
`ObjectifyWithAttributes` 79.1-2
obsolete 77.
`OCOneCocycles` 39.23-3
octal character codes 27.2
`OctaveAlgebra` 62.5-3
`od` 4.20
`OldGeneratorsOfPresentation` 48.9-2
`Omega` 39.14-1
construct an orthogonal group 50.2-8
OmniGraffle 39.20-3
`ONanScottType` 43.5-1
`OnBreak` 6.4-3
`OnBreakMessage` 6.4-4
`One` 31.10-2
for a partial perm 54.3-22
one cohomology 39.23
`OneAttr` 31.10-2
`OneCoboundaries` 39.23-2
`OneCocycles`, for a group and a pcgs 39.23-1
for generators and a group 39.23-1
for generators and a pcgs 39.23-1
for two groups 39.23-1
`OneFactorBound` 66.12-4
`OneImmutable` 31.10-2
`OneLibraryGroup` 50.5
`OneMutable` 31.10-2
`OneOfPcgs` 45.4-6
`OneOp` 31.10-2
`OnePrimitiveGroup` 50.5
`OneSameMutability` 31.10-2
`OneSM` 31.10-2
`OneTransitiveGroup` 50.5
`OnIndeterminates`, as a permutation action 41.2-13
`OnLeftInverse` 41.2-3
`OnLines` 41.2-12
`OnLines`, example 50.2-1
`OnlyNeeded`, option 76.11
`OnPairs` 41.2-6
`OnPoints` 41.2-1
`OnQuit` 8.1-4
`OnRight` 41.2-2
`OnSets` 41.2-4
`OnSetsDisjointSets` 41.2-8
`OnSetsSets` 41.2-7
`OnSetsTuples` 41.2-9
`OnSubspacesByCanonicalBasis` 41.2-15
`OnSubspacesByCanonicalBasisConcatenations` 41.2-15
`OnTuples` 41.2-5
`OnTuplesSets` 41.2-10
`OnTuplesTuples` 41.2-11
\(O_p(G)\), see PCore 39.11-3
`Operation` 77.1
operation 78.
`OperationAlgebraHomomorphism`, action on a free left module 62.10-8
action w.r.t. a basis of the module 62.10-8
`OperationHomomorphism` 77.1
operations, for booleans 20.4
Operations for algebraic elements 67.2
operators 4.7
arithmetic 4.13
associativity 4.13
for cyclotomics 18.3
for lists 21.11
precedence 4.12
options 3.
command line, filenames 3.1
command line, internal 3.1
under UNIX 3.1
`or` 20.4-1
`Orbit` 41.4-1
`OrbitFusions` 73.4-1
`OrbitishFO` 85.3-2
`OrbitLength` 41.4-4
`OrbitLengths`, for a group, a set of seeds, etc. 41.4-5
for a permutation group 41.4-5
for an external set 41.4-5
`OrbitLengthsDomain`, for a group and a set of seeds 41.4-6
for a permutation group 41.4-6
of an external set 41.4-6
`OrbitPerms` 43.2-1
`OrbitPowerMaps` 73.2-1
`Orbits`, as attributes for external sets 85.3
`Orbits`, attribute 41.4-2
for a permutation group 41.4-2
operation 41.4-2
`OrbitsDomain`, for a group and an action domain 41.4-3
for a permutation group 41.4-3
of an external set 41.4-3
`OrbitsishOperation` 85.3-1
`OrbitsPerms` 43.2-2
`OrbitStabChain` 43.10-6
`OrbitStabilizer` 41.5-1
`OrbitStabilizerAlgorithm` 41.5-3
`Order` 31.10-10
for a class function 72.4-3
order, of a group 39.1
of a list, collection or domain 30.4-6
of the prime residue group 15.2-2
ordered partitions, internal representation 87.2-1
`OrderedPartitions` 16.2-21
ordering, booleans 20.3-2
of records 29.5
`OrderingByLessThanFunctionNC` 34.2-1
`OrderingByLessThanOrEqualFunctionNC` 34.2-2
`OrderingOfRewritingSystem` 38.1-3
`OrderingOnGenerators` 34.4-4
`OrderingsFamily` 34.1-2
`OrderMod` 15.3-1
`OrderOfRewritingSystem` 38.1-3
`OrdersClassRepresentatives` 71.9-1
`OrdersTom` 70.7-2
`Ordinal` 27.9-4
ordinary character 72.8-1
`OrdinaryCharacterTable`, for a character table 71.8-4
for a group 71.8-4
`OrthogonalComponents` 72.11-4
`OrthogonalEmbeddings` 25.6-1
`OrthogonalEmbeddingsSpecialDimension` 72.10-6
output, suppressing 6.1
`OutputLogTo`, for a filename 9.7-6
for streams 10.4-7
stop logging output 9.7-6
`OutputTextFile` 10.5-2
`OutputTextNone` 10.9-2
`OutputTextString` 10.7-2
`OutputTextUser` 10.6-2
overload 78.9
\(p\)-group 39.15-19
package 76.
`PACKAGE_DEBUG` 76.2-5
`PACKAGE_ERROR` 76.2-5
`PACKAGE_INFO` 76.2-5
`PACKAGE_WARNING` 76.2-5
`PackageInfo.g`, for a GAP package 76.5
`PackageVariablesInfo` 76.3-15
`PadicCoefficients` 25.4-3
`PadicExtensionNumberFamily` 68.2-1
`PadicNumber`, for a p-adic extension family and a list 68.2-2
for a p-adic extension family and a rational 68.2-2
for a pure p-adic numbers family and a list 68.2-2
for pure padics 68.1-2
`PadicValuation` 56.5-10
`Pager` 2.4-1
`PageSource` 5.1-7
`Parametrized` 73.5-5
parametrized maps 73.
`Parent` 31.7-1
`ParentPcgs` 45.7-3
`ParseRelators` 47.2-3
partial order 33.2-6
`PartialFactorization` 14.4-9
`PartialOrderByOrderingFunction` 33.4-6
`PartialOrderOfHasseDiagram` 33.2-11
`PartialPerm`, for a dense image 54.2-1
for a domain and image 54.2-1
`PartialPermFamily` 54.1-3
`PartialPermOp` 54.2-2
`PartialPermOpNC` 54.2-2
`Partitions` 16.2-18
partitions, improper, of an integer 16.2-21
ordered, of an integer 16.2-21
restricted, of an integer 16.2-25
`PartitionsGreatestEQ` 16.2-24
`PartitionsGreatestLE` 16.2-23
`PartitionsSet` 16.2-16
`PartitionTuples` 16.2-30
`PcElementByExponents` 45.5-6
`PcElementByExponentsNC` 45.5-6
`PCentralLieAlgebra` 64.8-5
`PCentralNormalSeriesByPcgsPGroup` 45.11-12
`PCentralSeries` 39.17-13
`PcGroupCode` 46.9-3
`PcGroupFpGroup` 46.4-1
`PcGroupWithPcgs` 46.5-1
`Pcgs` 45.2-1
`Pcgs_OrbitStabilizer` 45.15-2
`PcgsByPcSequence` 45.3-1
`PcgsByPcSequenceNC` 45.3-1
`PcgsCentralSeries` 45.11-6
`PcgsChiefSeries` 45.11-14
`PcgsElementaryAbelianSeries`, for a group 45.11-2
for a list of normal subgroups 45.11-2
`PcgsPCentralSeriesPGroup` 45.11-10
`PClassPGroup` 39.15-22
`PCore` 39.11-3
`PcSeries` 45.4-4
perfect groups 50.6
`PerfectGroup`, for a pair [ order, index ] 50.6-2
for group order (and index) 50.6-2
`PerfectIdentification` 50.6-3
`PerfectResiduum` 39.12-8
`Perform` 21.20-11
`PERM_INVERSE_THRESHOLD` 42.1-4
`Permanent` 16.4-1
`PermBounds` 72.14-3
`PermCharInfo` 72.13-1
`PermCharInfoRelative` 72.13-2
`PermChars` 72.14-1
`PermCharsTom`, from a character table 70.11-2
via fusion map 70.11-2
`PermComb` 72.14-4
`PermLeftQuoPartialPerm` 54.5-1
`PermLeftQuoPartialPermNC` 54.5-1
`PermLeftQuoTransformation` 53.4-1
`PermLeftQuoTransformationNC` 53.4-1
`PermList` 42.5-2
`PermListList` 21.20-12
`Permutation`, for a group, an action domain, etc. 41.9-1
for an external set 41.9-1
permutation character 73.7-2
permutation characters, possible 72.13
`PermutationCharacter`, for a group, an action domain, and a function 72.7-3
for two groups 72.7-3
`PermutationCycle` 41.9-2
`PermutationGModule` 69.2-1
`PermutationMat` 24.5-5
`PermutationOfImage` 53.3-3
`PermutationsFamily` 42.1-3
`PermutationsList` 16.2-12
`PermutationTom` 70.5-2
`Permuted` 21.20-18
as a permutation action 41.2-14
for a class function 72.4-2
`PGL` 50.2-11
`PGU` 50.2-13
`Phi` 15.2-2
point stabilizer 41.5
`PolynomialByExtRep` 66.22-2
`PolynomialByExtRepNC` 66.22-2
`PolynomialCoefficientsOfPolynomial` 66.6-2
`PolynomialDivisionAlgorithm` 66.17-13
`PolynomialModP` 66.11-2
`PolynomialReducedRemainder` 66.17-12
`PolynomialReduction` 66.17-11
`PolynomialRing`, for a ring and a list of indeterminate numbers 66.15-1
for a ring and a list of indeterminates 66.15-1
for a ring and a list of names (and an exclusion list) 66.15-1
for a ring and a rank (and an exclusion list) 66.15-1
`POmega` 50.2-16
`PopOptions` 8.1-2
`Position` 21.16-1
`PositionBound` 21.16-11
`PositionCanonical` 21.16-3
`PositionFirstComponent` 77.4
`PositionLastNonZero` 26.4-2
`PositionMaximum` 21.16-8
`PositionMinimum` 21.16-8
`PositionNonZero` 21.16-14
for vectors 26.4-1
`PositionNot` 21.16-13
`PositionNthOccurrence` 21.16-4
`PositionProperty` 21.16-9
`Positions` 21.16-2
`PositionsBound` 21.16-12
`PositionSet` 21.16-7
`PositionsOp` 21.16-2
`PositionSorted` 21.16-5
`PositionSortedBy` 21.16-6
`PositionSortedByOp` 21.16-6
`PositionSortedOp` 21.16-5
`PositionsProperty` 21.16-10
`PositionStream` 10.3-7
`PositionSublist` 21.16-15
`PositionWord` 37.4-4
positive number 4.13
`PositiveIntegers` 14.1-1
`PositiveRoots` 64.6-7
`PositiveRootVectors` 64.6-9
possible permutation characters 72.13
`PossibleClassFusions` 73.3-6
`PossibleFusionsCharTableTom` 70.11-1
`PossiblePowerMaps` 73.1-2
power 4.13
matrix 24.3
meaning for class functions 72.4
of words 37.4
power set 16.2-1
Powerful \(p\)-group 39.15-20
`PowerMap` 73.1-1
`PowerMapByComposition` 73.1-4
`PowerMapOp` 73.1-1
`PowerMapsAllowedBySymmetrizations` 73.6-6
`PowerMod` 56.7-9
`PowerModCoeffs` 23.7-5
`PowerModInt` 14.3-10
`PowerPartition` 16.2-29
`PowerSubalgebraSeries` 62.9-4
`PQuotient` 47.14-1
Pragmas 5.7
precedence 4.13
precedence test, for permutations 42.2-1
`PrecisionFloat` 19.2-7
Prefix 27.7-22
`PrefrattiniSubgroup` 39.12-7
`PrefrattiniSubgroup`, for groups with pcgs 45.16
`PreImage`, set of preimages of a collection under a general mapping 32.5-6
set of preimages of the range of a general mapping 32.5-6
unique preimage of an element under a general mapping 32.5-6
`PreImageElm` 32.5-3
`PreImagePartialPerm` 54.5-2
`PreImages`, set of preimages of a collection under a general mapping 32.5-7
set of preimages of an elm under a general mapping 32.5-7
set of preimages of the range of a general mapping 32.5-7
`PreImagesElm` 32.5-2
`PreImagesOfTransformation` 53.4-4
`PreImagesRange` 32.5-1
`PreImagesRepresentative` 32.5-4
`PreImagesSet` 32.5-5
preorder 33.2-5
`PresentationFpGroup` 48.1-1
`PresentationNormalClosure` 48.2-6
`PresentationNormalClosureRrs` 48.2-5
`PresentationSubgroup` 48.2-1
`PresentationSubgroupMtc` 48.2-4
`PresentationSubgroupRrs`, for a group and a coset table (and a string) 48.2-2
for two groups (and a string) 48.2-2
`PresentationViaCosetTable` 48.1-5
previous result 6.1
`PrevPrimeInt` 14.4-6
`PrimalityProof` 14.4-3
primary subgroup generators 48.10-1
`PrimaryGeneratorWords` 48.2-3
prime residue group 15. 15.2
exponent 15.2-3
generator 15.3-3 15.3-4
order 15.2-2
`PrimeBlocks` 71.11-1
`PrimeBlocksOp` 71.11-1
`PrimeDivisors` 14.4-8
`PrimeField` 58.2-4
`PrimePGroup` 39.15-21
`PrimePowersInt` 14.4-11
`PrimeResidues` 15.2-1
`Primes` 14.4-1
primitive 41.10-7
primitive root modulo an integer 15.3-3
`PrimitiveElement` 58.2-3
`PrimitivePolynomial` 66.11-1
`PrimitiveRoot` 59.3-3
`PrimitiveRootMod` 15.3-3
`Print` 6.3-4
`PrintAmbiguity` 73.5-14
`PrintArray` 24.5-10
`PrintCharacterTable` 71.13-5
`PrintCSV` 10.11-2
`PrintFactorsInt` 14.4-10
`PrintFormatted` 27.7-23
`PrintFormattingStatus` 10.4-8
`PrintObj` 6.3-5
for a character table 71.13-2
for a ffe 59.6-1
for a string 27.1-4
for a table of marks 70.4-2
for class functions 72.5-2
`PrintString` 27.7-5
`PrintTo` 9.7-3
for streams 10.4-4
`PrintToFormatted` 27.7-23
`ProbabilityShapes` 66.11-4
procedure call 4.16
procedure call with arguments 4.16
`Process` 11.1-1
`PROD_GF2MAT_GF2MAT_ADVANCED` 24.16-2
`PROD_GF2MAT_GF2MAT_SIMPLE` 24.16-1
`Product` 21.20-25
product, of words 37.4
rational functions 66.2
`ProductCoeffs` 23.7-2
`ProductOfStraightLinePrograms` 37.8-13
`ProductSpace` 62.9-3
`ProductX` 21.21-4
`ProfileFunctions` 7.8-5
`ProfileGlobalFunctions` 7.8-2
`ProfileLineByLine` 7.8-14
`ProfileMethods` 7.8-7
`ProfileOperations` 7.8-3
`ProfileOperationsAndMethods` 7.8-4
`ProjectedInducedPcgs` 45.10-2
`ProjectedPcElement` 45.10-1
`Projection`, example for direct products 49.1-1
example for semidirect products 49.2-1
example for subdirect products 49.3-1
example for wreath products 49.4-1
`Projection`, for a domain 32.2-12
for a domain and a positive integer 32.2-12
for group products 49.6-2
for two domains 32.2-12
`ProjectionMap` 73.5-3
projections, find all 40.9-4
`ProjectiveActionHomomorphismMatrixGroup` 44.3-2
`ProjectiveActionOnFullSpace` 44.3-1
`ProjectiveGeneralLinearGroup` 50.2-11
`ProjectiveGeneralUnitaryGroup` 50.2-13
`ProjectiveOmega` 50.2-16
`ProjectiveOrder` 24.14-3
`ProjectiveSpecialLinearGroup` 50.2-12
`ProjectiveSpecialUnitaryGroup` 50.2-14
`ProjectiveSymplecticGroup` 50.2-15
prompt 6.1
partial 6.1
`PRump` 39.12-12
`PseudoRandom` 30.7-2
for finitely presented groups 47.5-1
`PSL` 50.2-12
`PSp` 50.2-15
`PSP` 50.2-15
`PSU` 50.2-14
`PthPowerImage`, for basis and element 64.8-3
for element 64.8-3
for element and integer 64.8-3
`PthPowerImages` 64.8-2
`PurePadicNumberFamily` 68.1-1
`PushOptions` 8.1-1
`PValuation` 15.7-1
`Quadratic` 18.5-4
quadratic residue 15.4-1 15.4-2 15.4-3
`QuaternionAlgebra` 62.5-1
`QuaternionGenerators` 50.1-9
`QuaternionGroup` 50.1-8
`QUIET` 77.4
`QUIT` 6.7-1
`QUIT`, emergency quit 6.7-1
quit, in emergency 6.7
`QUIT_GAP` 6.7-3
`QUITTING` 6.7-5
`QuoInt` 14.3-1
`Quotient` 56.1-9
quotient, for finitely presented groups 47.2-1
matrices 24.3
matrix and matrix list 24.3
matrix and scalar 24.3
of free monoid 52.2-1
of free semigroup 52.2-1
of words 37.4
rational functions 66.2
scalar and matrix 24.3
scalar and matrix list 24.3
vector and matrix 24.3
`QuotientFromSCTable` 62.4-8
`QuotientMod` 56.7-8
`QuotientPolynomialsExtRep` 66.23-3
`QuotientRemainder` 56.6-5
`QuotientSemigroupCongruence` 51.7-3
`QuotientSemigroupHomomorphism` 51.7-3
`QuotientSemigroupPreimage` 51.7-3
`QuotRemLaurpols` 66.5-6
\(r_N\) (irrational value) 18.4-2
`RadicalGroup` 39.12-9
`RadicalOfAlgebra` 62.9-16
`Random` 30.7-1
for a list or collection 30.7-1
for integers 14.2-12
for lower and upper bound 30.7-1
for random source and collection 14.7-2
for random source and list 14.7-2
for random source and two integers 14.7-2
for rationals 17.2-7
random seed 30.7-3
`RandomBinaryRelationOnPoints` 33.3-2
`RandomInvertibleMat` 24.6-2
`RandomIsomorphismTest` 46.10-1
`Randomize`, for a matrix object 26.4-9
for a vector object 26.4-9
`RandomList` 30.7-3
`RandomMat` 24.6-1
`RandomPartialPerm`, for a positive integer 54.2-7
for a set of positive integers 54.2-7
for domain and image 54.2-7
`RandomPrimitivePolynomial` 59.5-3
`RandomSource` 14.7-5
`RandomTransformation` 53.2-7
`RandomUnimodularMat` 24.6-3
range 21.22
`Range`, of a general mapping 32.3-7
`RankAction`, for a group, an action domain, etc. 41.10-3
for an external set 41.10-3
`RankFilter` 13.2-1
`RankMat` 24.7-1
`RankOfPartialPerm` 54.3-3
`RankOfPartialPermCollection` 54.3-3
`RankOfPartialPermSemigroup` 54.7-2
`RankOfTransformation`, for a transformation and a list 53.5-4
for a transformation and a positive integer 53.5-4
`RankPGroup` 39.15-23
`Rat` 17.2-6
for floats 19.2-2
for strings 27.9-2
`RationalCanonicalFormTransform` 24.13-2
`RationalClass` 39.10-6
`RationalClasses` 39.10-7
`RationalFunctionByExtRep` 66.22-1
`RationalFunctionByExtRepNC` 66.22-1
`RationalFunctionByExtRepWithCancellation` 66.24-1
`RationalFunctionsFamily` 66.19-1
`RationalizedMat` 18.5-6
`Rationals` 17.1-1
`RClassOfHClass` 51.8-5
`Read` 9.7-1
for streams 10.3-1
read eval print loop 6.1
`read.g`, for a GAP package 76.5
`ReadAll` 10.3-5
`ReadAllLine` 10.8-3
`ReadAsFunction` 9.7-2
for streams 10.3-2
`ReadByte` 10.3-3
`ReadCommandLineHistory` 6.9-3
`ReadCSV` 10.11-1
`ReadLine` 10.3-4
`ReadlineInitLine` 6.9-1
`README`, for a GAP package 76.5
`ReadPackage` 76.3-1
`ReadPkg` 77.2
`RealClasses` 71.9-11
`RealizableBrauerCharacters` 72.15-4
`RealPart` 18.5-2
`RecNames` 29.1-2
record, component access 29.2
component assignment 29.3
component variable 29.2
component variable assignment 29.3
record assignment, operation 29.7-3
record boundness test, operation 29.7-3
record component, operation 29.7-3
record unbind, operation 29.7-3
recursion 4.23
`RedispatchOnCondition` 78.6-1
redisplay a help section 2.2
redisplay with next help viewer 2.2
`ReduceCoeffs` 23.7-3
`ReduceCoeffsMod` 23.7-4
`ReducedAdditiveInverse` 38.2-1
`ReducedCharacters` 72.10-2
`ReducedClassFunctions` 72.10-1
`ReducedComm` 38.2-1
`ReducedConfluentRewritingSystem` 52.5-1
`ReducedConjugate` 38.2-1
`ReducedDifference` 38.2-1
`ReducedForm` 38.1-4
`ReducedGroebnerBasis`, for a list and a monomial ordering 66.18-2
for an ideal and a monomial ordering 66.18-2
`ReducedInverse` 38.2-1
`ReducedLeftQuotient` 38.2-1
`ReducedOne` 38.2-1
`ReducedPcElement` 45.5-10
`ReducedPower` 38.2-1
`ReducedProduct` 38.2-1
`ReducedQuotient` 38.2-1
`ReducedScalarProduct` 38.2-1
`ReducedSum` 38.2-1
`ReducedZero` 38.2-1
`ReduceRules` 38.1-8
`ReduceStabChain` 43.11-5
`Ree` 50.1-15
`ReeGroup` 50.1-15
`ReesCongruenceOfSemigroupIdeal` 51.5-2
`ReesMatrixSemigroup` 51.9-1
`ReesMatrixSemigroupElement` 51.9-5
`ReesMatrixSubsemigroup` 51.9-2
`ReesZeroMatrixSemigroup` 51.9-1
`ReesZeroMatrixSemigroupElement` 51.9-5
`ReesZeroMatrixSubsemigroup` 51.9-2
`RefinedPcGroup` 46.4-9
`ReflectionMat` 24.5-9
reflexive relation 33.2-1
`ReflexiveClosureBinaryRelation` 33.4-1
regular 41.10-5
regular action 41.7-2
`RegularActionHomomorphism` 41.8-2
`RegularModule` 71.15-3
relations 32.
`RelationsOfFpMonoid` 52.4-5
`RelationsOfFpSemigroup` 52.4-5
`RelativeBasis` 61.5-4
`RelativeBasisNC` 61.5-4
`RelativeDiameter` 19.5-5
relatively prime 4.13
`RelativeOrderOfPcElement` 45.5-1
`RelativeOrders` 45.4-1
`RelativeOrders`, of a pcgs 45.4-1
`RelatorsOfFpGroup` 47.4-3
remainder, operation 31.12-1
remainder of a quotient 14.3-3
`RemInt` 14.3-3
`Remove` 21.4-3
remove, an element from a set 21.19-5
`RemoveCharacters` 27.7-19
`RemoveFile` 9.7-8
`RemoveOuterCoeffs` 23.5-4
`RemoveRelator` 48.5-4
`RemoveSet` 21.19-5
`RemoveStabChain` 43.11-6
`repeat` loop 4.19
`ReplacedString` 27.7-16
representation, as a sum of two squares 15.7-2
`RepresentationsOfObject` 13.4-3
`Representative` 30.4-7
representative, of a list or collection 30.4-8
`RepresentativeAction` 41.6-1
`RepresentativeLinearOperation` 62.10-13
`RepresentativeOperation` 77.1
`RepresentativesContainedRightCosets` 39.9-2
`RepresentativesFusions` 73.4-2
`RepresentativeSmallest` 30.4-8
`RepresentativesMinimalBlocks`, for a group, an action domain, etc. 41.11-3
for an external set 41.11-3
`RepresentativesPerfectSubgroups` 39.20-10
`RepresentativesPowerMaps` 73.2-2
`RepresentativesSimpleSubgroups` 39.20-10
`RepresentativeTom` 70.10-4
`RepresentativeTomByGenerators` 70.10-4
`RepresentativeTomByGeneratorsNC` 70.10-4
`RequirePackage` 77.2
`Reread` 9.7-10
`REREADING` 9.7-10
`RereadPackage` 76.3-1
`RereadPkg` 77.2
`Reset` 14.7-3
`ResetFilterObj` 13.8-4
`ResetMethodReordering` 78.8-2
`ResetOptionsStack` 8.1-3
residue, quadratic 15.4-1 15.4-2 15.4-3
`RespectsAddition` 32.10-1
`RespectsAdditiveInverses` 32.10-2
`RespectsInverses` 32.9-3
`RespectsMultiplication` 32.9-1
`RespectsOne` 32.9-2
`RespectsScalarMultiplication` 32.11-1
`RespectsZero` 32.10-3
`RestrictedClassFunction` 72.9-1
`RestrictedClassFunctions` 72.9-2
`RestrictedInverseGeneralMapping` 32.2-4
`RestrictedLieAlgebraByStructureConstants` 64.2-2
`RestrictedMapping` 32.2-13
`RestrictedPartialPerm` 54.2-3
`RestrictedPartitions` 16.2-25
`RestrictedPerm` 42.5-4
`RestrictedPermNC` 42.5-4
`RestrictedTransformation` 53.3-2
`RestrictOutputsOfSLP` 37.8-9
`Resultant` 66.6-7
`ResultOfStraightLineProgram` 37.8-5
`ResumeMethodReordering` 78.8-2
`return` 6.4-2
no value 4.24
with value 4.24
return from break loop 6.4-2
`ReturnFail` 5.4-3
`ReturnFalse` 5.4-2
`ReturnFirst` 5.4-5
`ReturnNothing` 5.4-4
`ReturnTrue` 5.4-1
`Reversed` 21.20-7
`ReverseNaturalPartialOrder` 54.7-5
`RewindStream` 10.3-8
`RewriteWord` 47.9-4
right cosets 39.7
`RightActingAlgebra` 62.11-12
`RightActingRingOfIdeal` 56.2-10
`RightAlgebraModule` 62.11-5
`RightAlgebraModuleByGenerators` 62.11-2
`RightCoset` 39.7-1
`RightCosets` 39.7-2
`RightCosetsNC` 39.7-2
`RightDerivations` 64.2-6
`RightIdeal` 56.2-1
`RightIdealByGenerators` 56.2-6
`RightIdealNC` 56.2-2
`RightModuleByHomomorphismToMatAlg` 62.11-18
`RightOne`, for a partial perm 54.3-21
for a transformation 53.5-22
`RightShiftRowVector` 23.5-2
`RightTransversal` 39.8-1
`Ring`, for a collection 56.1-2
for ring elements 56.1-2
`RingByGenerators` 56.1-4
`RingByStructureConstants` 56.9-6
`RingGeneralMappingByImages` 56.8-1
`RingHomomorphismByImages` 56.8-2
`RingHomomorphismByImagesNC` 56.8-3
`RingWithOne`, for a collection 56.3-2
for ring elements 56.3-2
`RingWithOneByGenerators` 56.3-3
`RNamObj`, for a positive integer 29.7-2
for a string 29.7-2
root, of 1 modulo an integer 15.4-5
of an integer 14.2-9
of an integer modulo another 15.4-3
of an integer, smallest 14.2-10
`RootInt` 14.2-9
`RootMod` 15.4-3
`RootOfDefiningPolynomial` 58.2-8
roots of unity 18.1-1
`RootsMod` 15.4-4
`RootsOfPolynomial` 66.5-4
`RootsOfUPol` 66.5-5
`RootsUnityMod` 15.4-5
`RootSystem` 64.6-5
`Round` 19.2-10
`RoundCyc` 18.1-9
row spaces 61.9
`Rows` 51.9-9
`RREF` 24.7-2
`Rules` 38.1-2
`Runtime` 7.6-2
`Runtimes` 7.6-1
\(s_N\) (irrational value) 18.4-3
`SameBlock` 71.11-2
save 3.3-1
`SaveCommandLineHistory` 6.9-3
`SaveOnExitFile` 6.7-6
`SaveWorkspace` 3.3-1
saving on exit 6.7
`ScalarProduct`, for characters 72.8-5
Schreier 48.2
Schreier-Sims, random 43.7
Schur multiplier 39.24-3
`SchurCover` 39.24-2
`SchurCoverOfSymmetricGroup` 39.24-10
scope 4.8
`Sec` 19.2-10
`Sech` 19.2-10
`SecHMSM` 27.10-8
secondary subgroup generators 48.10-1
`SecondsDMYhms` 27.10-10
`SeekPositionStream` 10.3-9
`SemidirectProduct`, for a group of automorphisms and a group 49.2-1
for acting group, action, and a group 49.2-1
`SemiEchelonBasis` 61.9-8
`SemiEchelonBasisNC` 61.9-8
`SemiEchelonMat` 24.10-1
`SemiEchelonMatDestructive` 24.10-2
`SemiEchelonMats` 24.10-4
`SemiEchelonMatsDestructive` 24.10-5
`SemiEchelonMatTransformation` 24.10-3
semigroup 51.1-1
`Semigroup`, for a list 51.1-2
for various generators 51.1-2
`SemigroupByGenerators` 51.1-5
`SemigroupByMultiplicationTable` 51.1-11
`SemigroupIdealByGenerators` 51.5-1
`SemigroupOfRewritingSystem` 52.5-4
semiregular 41.10-4
`SemiSimpleType` 64.6-1
sequence, Bernoulli 16.1-4
Fibonacci 16.3-1
Lucas 16.3-2
`Set` 30.3-7
set difference, of collections 30.5-4
set stabilizer 41.5
`SetAllBlist` 22.4-6
`SetAssertionLevel` 7.5-1
`SetCommutator` 46.4-4
`SetConjugate` 46.4-3
`SetCrystGroupDefaultAction` 44.7-2
`SetCyclotomicsLimit` 18.6-1
`SetDefaultInfoOutput` 7.4-7
`SetElmWPObj` 86.2-1
`SetEntrySCTable` 62.4-4
`SetFilterObj` 13.8-3
`SetFloats` 19.2-4
`SetGasmanMessageStatus` 7.12-2
`SetHelpViewer` 2.3-1
`SetIndeterminateName` 66.1-4
`SetInfoHandler` 7.4-7
`SetInfoLevel` 7.4-3
`SetInfoOutput` 7.4-7
`SetName` 12.8-1
`SetNameObject` 6.3-7
`SetPackagePath` 76.2-3
`SetParent` 31.7-1
`SetPower` 46.4-5
`SetPrintFormattingStatus` 10.4-8
`SetRecursionTrapInterval` 7.11-1
`SetReducedMultiplication` 47.3-4
Sets 21.
sets 21.19
setter 13.6
`Setter` 13.6-2
`SetUserPreference` 3.2-3
`SetX` 21.21-2
`ShallowCopy` 12.7-1
`ShallowCopy`, for lists 21.7
`ShiftedCoeffs` 23.7-6
`ShiftedPadicNumber` 68.1-4
short vectors spanning a lattice 25.5-1 72.10-4
`ShortestVectors` 25.6-2
`ShortLexLeqPartialPerm` 54.5-5
`ShortLexOrdering` 34.4-6
`ShowAdditionTable` 55.4-2
`ShowArgument` 7.1-2
`ShowArguments` 7.1-1
`ShowDeclarationsOfOperation` 78.1-3
`ShowDetails` 7.1-3
`ShowGcd` 56.7-5
`ShowImpliedFilters` 13.2-4
`ShowMethods` 7.1-4
`ShowMultiplicationTable` 55.4-2
`ShowOtherMethods` 7.1-5
`ShowPackageVariables` 76.3-15
`ShowPackageVariables` 76.10
`ShowUsedInfoClasses` 7.4-5
`ShowUserPreferences` 3.2-3
`ShrinkAllocationPlist` 21.9-1
`ShrinkAllocationString` 27.4-5
`ShrinkRowVector` 23.5-3
`Shuffle` 21.20-8
`SiftedPcElement` 45.5-8
`SiftedPermutation` 43.10-12
`SiftedVector` 61.9-12
`Sigma` 15.5-1
`SigmaL` 50.2-10
sign, of an integer 14.2-7
`SignBit` 19.2-8
`SignFloat` 19.2-8
`SignInt` 14.2-7
`SignPartition` 16.2-27
`SignPerm` 42.4-1
`SimpleGroup` 39.15-13
`SimpleGroupsIterator` 39.15-14
`SimpleLieAlgebra` 64.2-7
`SimpleSystem` 64.6-11
`SimplexMethod` 24.18-1
`SimplifiedFpGroup` 48.1-6
`SimplifyPresentation` 48.6-2
`SimultaneousEigenvalues` 24.14-4
`Sin` 19.2-10
`SinCos` 19.2-10
`SingleCollector` 46.4-2
singlequote character 27.2
singlequotes 27.1
`Sinh` 19.2-10
`SIntChar` 27.8-3
`Size` 30.4-6
for a character table 71.8-5
`Size`, for groups with pcgs 45.16
size, of a list or collection 30.4-6
`SizeBlist` 22.2-3
`SizeConsiderFunction` 39.21-4
`SizeNumbersPerfectGroups` 50.6-6
`SizeOfFieldOfDefinition` 72.15-3
`SizesCentralisers` 71.9-2
`SizesCentralizers` 71.9-2
`SizesConjugacyClasses` 71.9-3
`SizeScreen` 6.12-1
`SizesPerfectGroups` 50.6-1
`SizeStabChain` 43.10-3
`SL`, for dimension and a field size 50.2-2
for dimension and a ring 50.2-2
`Sleep` 7.6-5
`SlotUsagePattern` 37.8-14
small integer 14.
smaller, associative words 37.3-2
elements of finitely presented groups 47.3-2
for pcwords 46.2-1
for transformations 53.4
nonassociative words 36.2-2
rational functions 66.3
smaller or equal 4.12
smaller test 4.12
`SmallerDegreePermutationRepresentation` 43.3-2
`SmallestGeneratorPerm` 42.2-3
`SmallestIdempotentPower`, for a partial perm 54.3-17
for a transformation 53.5-16
`SmallestImageOfMovedPoint`, for a partial permutation 54.3-14
for a partial permutation coll 54.3-14
for a transformation 53.5-9
for a transformation coll 53.5-9
`SmallestMovedPoint`, for a list or collection of permutations 42.3-1
for a partial perm 54.3-12
for a partial perm coll 54.3-12
for a permutation 42.3-1
for a transformation 53.5-7
for a transformation coll 53.5-7
`SmallestRootInt` 14.2-10
`SmallGeneratingSet` 39.22-4
`SmallRing` 56.9-1
`SmallSimpleGroup` 39.15-15
Smith normal form 77.3
`SmithNormalFormIntegerMat` 25.2-6
`SmithNormalFormIntegerMatTransforms` 25.2-7
`SMTX.AbsoluteIrreducibilityTest` 69.12-8
`SMTX.AlgEl` 69.13-2
`SMTX.AlgElCharPol` 69.13-4
`SMTX.AlgElCharPolFac` 69.13-5
`SMTX.AlgElMat` 69.13-3
`SMTX.AlgElNullspaceDimension` 69.13-7
`SMTX.AlgElNullspaceVec` 69.13-6
`SMTX.CentMat` 69.13-8
`SMTX.CentMatMinPoly` 69.13-9
`SMTX.CompleteBasis` 69.12-11
`SMTX.Getter` 69.12-6
`SMTX.GoodElementGModule` 69.12-2
`SMTX.IrreducibilityTest` 69.12-7
`SMTX.MatrixSum` 69.12-10
`SMTX.MinimalSubGModule` 69.12-9
`SMTX.MinimalSubGModules` 69.12-4
`SMTX.RandomIrreducibleSubGModule` 69.12-1
`SMTX.Setter` 69.12-5
`SMTX.SortHomGModule` 69.12-3
`SMTX.Subbasis` 69.13-1
`SO` 50.2-7
`Socle` 39.12-10
`SocleTypePrimitiveGroup` 43.5-2
`SolutionIntMat` 25.1-2
`SolutionMat` 24.7-6
`SolutionMatDestructive` 24.7-7
`SolutionNullspaceIntMat` 25.1-3
`SolvableQuotient`, for a f.p. group and a list of primes 47.14-5
for a f.p. group and a list of tuples 47.14-5
for a f.p. group and a size 47.14-5
`Sort` 21.18-1
`SortBy` 21.18-1
Sorted Lists as Collections 30.3
`SortedCharacters` 71.21-2
`SortedCharacterTable`, relative to the table of a factor group 71.21-4
w.r.t. a normal subgroup 71.21-4
w.r.t. a series of normal subgroups 71.21-4
`SortedList` 30.3-6
`SortedSparseActionHomomorphism` 41.7-3
`SortedTom` 70.5-1
`Sortex` 21.18-3
`SortingPerm` 21.18-4
`SortParallel` 21.18-2
`Source` 32.3-8
`SourceOfIsoclinicTable` 71.20-4
`Sp`, for dimension and a ring 50.2-5
`SP`, for dimension and a ring 50.2-5
for dimension and field size 50.2-5
`Sp`, for dimension and field size 50.2-5
space 4.4
`SparseActionHomomorphism` 41.7-3
`SparseCartanMatrix` 64.7-2
`SparseHashTable` 28.7-1
`SparseIntKey` 28.5-2
special character sequences 27.2
`SpecialLinearGroup`, for dimension and a field size 50.2-2
for dimension and a ring 50.2-2
`SpecialOrthogonalGroup` 50.2-7
`SpecialPcgs`, for a group 45.13-2
for a pcgs 45.13-2
`SpecialSemilinearGroup` 50.2-10
`SpecialUnitaryGroup` 50.2-4
`SplitCharacters` 71.17-7
`SplitExtension` 46.8-6
with specified homomorphism 46.8-10
`SplitString` 27.7-15
`SplittingField` 66.4-13
Spreadsheet 10.11
`SQ`, synonym of SolvableQuotient 47.14-5
`Sqrt` 31.12-5
`Square` 19.2-10
square root, of an integer 14.2-9
`SquareRoots` 35.4-12
`SSortedList` 30.3-7
`StabChain`, for a group (and a record) 43.8-1
for a group and a base 43.8-1
`StabChainBaseStrongGenerators` 43.8-4
`StabChainImmutable` 43.8-1
`StabChainMutable`, for a group 43.8-1
for a homomorphism 43.8-1
`StabChainOp` 43.8-1
`StabChainOptions` 43.8-2
`Stabilizer` 41.5-2
`StabilizerOfExternalSet` 41.12-10
`StabilizerPcgs` 45.15-1
`StableSort` 21.18-1
`StableSortBy` 21.18-1
`StableSortParallel` 21.18-2
Stack trace 6.4-5
`StandardAssociate` 56.5-5
`StandardAssociateUnit` 56.5-6
`StandardizeTable` 47.7-2
`StandardWreathProduct` 49.4-1
`StarCyc` 18.5-3
`START_TEST` 7.10-1
`StartlineFunc` 5.1-5
`StartsWith` 27.7-22
`State` 14.7-3
Stirling number of the first kind 16.1-5
Stirling number of the second kind 16.1-6
`Stirling1` 16.1-5
`Stirling2` 16.1-6
`STOP_TEST` 7.10-1
`StoredGroebnerBasis` 66.18-3
`StoreFusion` 73.3-4
`StraightLineProgElm` 37.9-2
`StraightLineProgGens` 37.9-3
`StraightLineProgram`, for a list of lines (and the number of generators) 37.8-2
for a string and a list of generators names 37.8-2
`StraightLineProgramNC`, for a list of lines (and the number of generators) 37.8-2
for a string and a list of generators names 37.8-2
`StraightLineProgramsTom` 70.10-2
`StreamsFamily` 10.1-9
`StretchImportantSLPElement` 37.9-5
strictly sorted list 21.17-4
`String` 27.7-6
for a cyclotomic 18.1-6
`StringDate` 27.10-6
`StringFactorizationWord` 47.2-4
`StringFormatted` 27.7-23
`StringNumbers` 27.7-25
`StringOfMemoryAmount` 27.7-26
`StringOfResultOfStraightLineProgram` 37.8-6
`StringPP` 27.7-9
strings, equality of 27.6-1
inequality of 27.6-1
lexicographic ordering of 27.6-2
`StringTime` 27.10-9
`StripLineBreakCharacters` 27.7-7
`StrongGeneratorsStabChain` 43.10-4
`StronglyConnectedComponents` 33.4-5
Struct 31.3
`StructByGenerators` 31.3
`StructuralCopy` 12.7-2
`StructuralCopy`, for lists 21.7
structure constant 71.12-7 71.12-8 71.12-9
`StructureConstantsTable` 62.4-2
`StructureDescription` 39.6-1
`StructWithGenerators` 31.3
`SU` 50.2-4
`SubadditiveGroup` 55.2-9
`SubadditiveGroupNC` 55.2-9
`SubadditiveMagma` 55.2-7
`SubadditiveMagmaNC` 55.2-7
`SubadditiveMagmaWithZero` 55.2-8
`SubadditiveMagmaWithZeroNC` 55.2-8
`Subalgebra` 62.6-1
`SubAlgebraModule` 62.11-16
`SubalgebraNC` 62.6-2
`SubalgebraWithOne` 62.6-3
`SubalgebraWithOneNC` 62.6-4
`SubdirectProduct` 49.3-1
`SubdirectProducts` 49.3-2
Subdomains 31.8
`Subfield` 58.2-1
`SubfieldNC` 58.2-1
`Subfields` 58.2-10
`Subgroup` 39.3-1
for a group 39.3-1
subgroup fusions 73.3
subgroup generators tree 48.10-1
`SubgroupByPcgs` 45.7-9
`SubgroupByProperty` 39.3-11
`SubgroupNC` 39.3-1
`SubgroupOfWholeGroupByCosetTable` 47.8-2
`SubgroupOfWholeGroupByQuotientSubgroup` 47.13-1
`SubgroupProperty` 43.12-1
subgroups, polyhedral 71.12-6
`SubgroupShell` 39.3-12
`SubgroupsSolvableGroup` 39.21-3
sublist 21.3
access 21.3
assignment 21.4
operation 21.3
sublist assignment, operation 21.4
`Submagma` 35.2-7
`SubmagmaNC` 35.2-7
`SubmagmaWithInverses` 35.2-9
`SubmagmaWithInversesNC` 35.2-9
`SubmagmaWithOne` 35.2-8
`SubmagmaWithOneNC` 35.2-8
`Submodule` 57.2-1
`SubmoduleNC` 57.2-2
`Submonoid` 51.2-3
`SubmonoidNC` 51.2-3
`SubnearAdditiveGroup` 55.2-9
`SubnearAdditiveGroupNC` 55.2-9
`SubnearAdditiveMagma` 55.2-7
`SubnearAdditiveMagmaNC` 55.2-7
`SubnearAdditiveMagmaWithZero` 55.2-8
`SubnearAdditiveMagmaWithZeroNC` 55.2-8
`SubnormalSeries` 39.17-4
`Subring` 56.1-7
`SubringNC` 56.1-7
`Subrings` 56.9-3
`SubringWithOne` 56.3-5
`SubringWithOneNC` 56.3-5
`Subsemigroup` 51.1-3
`SubsemigroupNC` 51.1-3
subset test, for collections 30.5-1
subsets 16.2-1
`Subspace` 61.2-2
`SubspaceNC` 61.2-2
`Subspaces` 61.4-1
`SubstitutedWord`, replace a subword by a given word 37.4-5
replace an interval by a given word 37.4-5
`SubsTom` 70.7-1
`Substruct` 31.8
`SubstructNC` 31.8
`SubSyllables` 37.5-4
subtract, a set from another 21.19-8
`SubtractBlist` 22.4-4
subtraction 4.13
matrices 24.3
matrix and scalar 24.3
rational functions 66.2
scalar and matrix 24.3
scalar and matrix list 24.3 24.3
scalar and vector 23.2
vector and scalar 23.2
vectors 23.2
`SubtractSet` 21.19-8
`Subword` 37.4-3
`Successors` 33.2-9
Suffix 27.7-22
suggested package 76.11
`Sum` 21.20-26
`SumFactorizationFunctionPcgs` 45.12-1
`SumIntersectionMat` 24.11-4
`SumX` 21.21-3
`Sup` 19.5-1
`SupersolvableResiduum` 39.12-11
support, email address 1.5
`SupportedCharacterTableInfo` 71.3-4
`SurjectiveActionHomomorphismAttr` 41.12-17
`SuspendMethodReordering` 78.8-2
`SuzukiGroup` 50.1-14
`SylowComplement` 39.13-2
`SylowSubgroup` 39.13-1
`SylowSystem` 39.13-4
symmetric group, power map 16.2-29
symmetric power 72.11-2
symmetric relation 33.2-2
`SymmetricClosureBinaryRelation` 33.4-2
`SymmetricGroup`, for a degree 50.1-12
for a domain 50.1-12
`SymmetricInverseMonoid` 54.7-3
`SymmetricInverseSemigroup` 54.7-3
`SymmetricParentGroup` 43.4-4
`SymmetricParts` 72.11-2
`SymmetricPowerOfAlgebraModule` 64.15-3
`Symmetrizations` 72.11-1
symmetrizations, orthogonal 72.11-4
symplectic 72.11-5
`SymplecticComponents` 72.11-5
`SymplecticGroup`, for dimension and a ring 50.2-5
for dimension and field size 50.2-5
syntax errors 6.1
`SyntaxTree` 4.25-1
`sysinfo.gap` 76.14-1
system getter 13.5-5
system setter 13.5-5
`Sz` 50.1-14
\(t_N\) (irrational value) 18.4-3
table automorphisms 73.4-2 73.7-3
table of chapters for help books 2.2
table of sections for help books 2.2
`TableAutomorphisms` 71.22-2
`TableOfMarks`, for a group 70.3-1
for a matrix 70.3-1
for a string 70.3-1
`TableOfMarksByLattice` 70.3-2
`TableOfMarksComponents` 70.6-4
`TableOfMarksCyclic` 70.12-1
`TableOfMarksDihedral` 70.12-2
`TableOfMarksFamily` 70.6-3
`TableOfMarksFrobenius` 70.12-3
tables 71. 71.3
tabulator 4.4
`Tan` 19.2-10
`Tanh` 19.2-10
`Tau` 15.5-2
`TCENUM` 47.6-5
`TeachingMode` 6.13-1
`TemporaryGlobalVarName` 77.4
`Tensored` 72.8-20
`TensorProductGModule` 69.2-2
`TensorProductOfAlgebraModules`, for a list of algebra modules 64.15-1
for two algebra modules 64.15-1
`Test` 7.10-2
test, for a primitive root 15.3-4
for a rational 17.2-1
for records 29.1-1
for set equality 21.19-2
`TestConsistencyMaps` 73.5-12
`TestDirectory` 7.10-3
tester 13.6
`Tester` 13.6-1
`TestHomogeneous` 75.3-1
`TestInducedFromNormalSubgroup` 75.3-4
`TestJacobi` 62.4-6
`TestMonomial`, for a character 75.4-1
for a character and a Boolean 75.4-1
for a group 75.4-1
for a group and a Boolean 75.4-1
`TestMonomialQuick`, for a character 75.4-4
for a group 75.4-4
`TestMonomialUseLattice` 75.4-2
`TestPackage` 76.3-5
`TestPackageAvailability` 76.3-2
`TestPerm1` 72.14-2
`TestPerm2` 72.14-2
`TestPerm3` 72.14-2
`TestPerm4` 72.14-2
`TestPerm5` 72.14-2
`TestQuasiPrimitive` 75.3-3
`TestRelativelySM`, for a character 75.4-6
for a character and a normal subgroup 75.4-6
for a group 75.4-6
for a group and a normal subgroup 75.4-6
`TestSubnormallyMonomial`, for a character 75.4-5
for a group 75.4-5
`then` 4.17
`TietzeWordAbstractWord` 48.3-1
`time` 6.1
`time` 7.6-4
`TotalMemoryAllocated` 7.7-1
`Trace`, for a field element 58.3-5
for a matrix 58.3-5
of a matrix 24.4-3
`TraceAllMethods` 7.3-2
`TracedCosetFpGroup` 47.6-2
`TraceImmediateMethods` 7.3-5
`TraceMat` 24.4-3
`TraceMethods`, for a list of operations 7.3-1
for operations 7.3-1
`TracePolynomial` 58.3-3
`TransferDiagram` 73.5-11
`Transformation`, for a list and function 53.2-1
for a source and destination 53.2-2
for an image list 53.2-1
`TransformationByImageAndKernel`, for an image and kernel 53.2-3
`TransformationFamily` 53.1-3
`TransformationList`, for an image list 53.2-1
`TransformationListList`, for a source and destination 53.2-2
`TransformationNumber` 53.2-6
`TransformationOp` 53.2-5
`TransformationOpNC` 53.2-5
`TransformingPermutations` 71.22-3
`TransformingPermutationsCharacterTables` 71.22-4
transitive 41.10-1
transitive relation 33.2-3
`TransitiveClosureBinaryRelation` 33.4-3
`Transitivity`, for a character 72.8-16
for a group and an action domain 41.10-2
for a permutation group 41.10-2
for an external set 41.10-2
`TranslatorSubalgebra` 62.11-24
transporter 41.6
`TransposedMat` 24.5-6
`TransposedMatAttr` 24.5-6
`TransposedMatDestructive` 24.5-7
`TransposedMatImmutable` 24.5-6
`TransposedMatMutable` 24.5-6
`TransposedMatOp` 24.5-6
`TransposedMatrixGroup` 44.2-4
`TriangulizedIntegerMat` 25.2-1
`TriangulizedIntegerMatTransform` 25.2-2
`TriangulizedMat` 24.7-2
`TriangulizedNullspaceMat` 24.7-4
`TriangulizedNullspaceMatDestructive` 24.7-5
`TriangulizeIntegerMat` 25.2-3
`TriangulizeMat` 24.7-3
`TrimPartialPerm` 54.5-6
`TrimTransformation` 53.5-23
`TrivialCharacter`, for a character table 72.7-1
for a group 72.7-1
`TrivialGroup` 50.1-1
`TrivialIterator` 30.8-7
`TrivialSubalgebra` 62.6-5
`TrivialSubgroup` 39.12-1
`TrivialSubmagmaWithOne` 35.4-13
`TrivialSubmodule` 57.2-4
`TrivialSubmonoid` 51.2-8
`TrivialSubnearAdditiveMagmaWithZero` 55.3-6
`TrivialSubspace` 61.3-2
`Trunc` 19.2-10
`TryCosetTableInWholeGroup` 47.8-1
`TryGcdCancelExtRepPolynomials` 66.24-2
`TryNextMethod` 78.5-1
tuple stabilizer 41.5
`Tuples` 16.2-8
`TwoClosure` 43.12-3
`TwoCoboundaries` 46.8-1
`TwoCocycles` 46.8-2
`TwoCohomology` 46.8-3
`TwoCohomologyGeneric` 39.25-1
`TwoSidedIdeal` 56.2-1
`TwoSidedIdealByGenerators` 56.2-4
`TwoSidedIdealNC` 56.2-2
`TwoSquares` 15.7-2
type, boolean 20.
cyclotomic 18.
records 29.
strings 27.1
`TypeObj` 13.9-1
`TypeOfDefaultGeneralMapping` 32.14-7
`TypeOfOperation` 78.1-2
`TzEliminate`, for a presentation (and a generator) 48.7-1
for a presentation (and an integer) 48.7-1
`TzFindCyclicJoins` 48.7-4
`TzGo` 48.6-1
`TzGoGo` 48.6-3
`TzImagesOldGens` 48.9-3
`TzInitGeneratorImages` 48.9-1
`TzNewGenerator` 48.5-2
`TzOptions` 48.11-1
`TzPreImagesNewGens` 48.9-4
`TzPrint` 48.4-6
`TzPrintGeneratorImages` 48.9-5
`TzPrintGenerators` 48.4-1
`TzPrintLengths` 48.4-3
`TzPrintOptions` 48.11-2
`TzPrintPairs` 48.4-7
`TzPrintPresentation` 48.4-5
`TzPrintRelators` 48.4-2
`TzPrintStatus` 48.4-4
`TzSearch` 48.7-2
`TzSearchEqual` 48.7-3
`TzSort` 48.1-2
`TzSubstitute`, for a presentation (and an integer and 0/1/2) 48.8-1
for a presentation and a word 48.8-1
`TzSubstituteCyclicJoins` 48.8-2
\(u_N\) (irrational value) 18.4-3
`UglyVector` 61.11-2
`Unbind`, unbind a list entry 21.5-3
unbind a record component 29.6-2
unbind a variable 4.8-2
`Unbind\.` 29.7-3
`Unbind\[\]` 21.2-1
`UnbindElmWPObj` 86.2-1
`UnbindGlobal` 4.9-7
`UnbindInfoOutput` 7.4-7
`UncoverageLineByLine` 7.8-17
`UnderlyingCharacteristic`, for a character 71.9-5
for a character table 71.9-5
`UnderlyingCharacterTable` 72.2-1
`UnderlyingElement`, fp group elements 47.4-4
of an element in a fp semigroup or monoid 52.4-1
`UnderlyingExternalSet` 41.12-16
`UnderlyingFamily` 64.1-4
`UnderlyingGeneralMapping` 32.3-10
`UnderlyingGroup`, for character tables 71.6-1
for tables of marks 70.7-7
`UnderlyingInjectionZeroMagma` 35.2-14
`UnderlyingLeftModule` 61.6-2
`UnderlyingLieAlgebra` 64.6-6
`UnderlyingMagma` 65.1-6
`UnderlyingRelation` 32.3-9
`UnderlyingRingElement` 64.1-5
`UnderlyingSemigroup`, for a Rees 0-matrix semigroup 51.9-10
for a Rees matrix semigroup 51.9-10
`UnInstallCharReadHookFunc` 10.10-2
`Union`, for a list 30.5-3
for various collections 30.5-3
union, of collections 30.5-3
of sets 21.19-6
`Union2` 30.5-3
`UnionBlist`, for a list 22.3-1
for various boolean lists 22.3-1
`Unique` 21.20-4
`UniteBlist` 22.4-1
`UniteBlistList` 22.4-2
`UniteSet` 21.19-6
`Units` 56.5-2
`UnivariatenessTestRationalFunction` 66.5-7
`UnivariatePolynomial` 66.5-1
`UnivariatePolynomialByCoefficients` 66.5-2
`UnivariatePolynomialRing`, for a ring (and a name and an exclusion list) 66.16-1
for a ring (and an indeterminate number) 66.16-1
`UnivariateRationalFunctionByCoefficients` 66.14-1
`UniversalEnvelopingAlgebra` 64.10-1
UNIX, features 3.1
options 3.1
`UNIXSelect` 10.2-3
`Unknown` 74.1-1
`UnorderedTuples` 16.2-6
`Unpack`, for IsVectorObj 26.4-4
`UnprofileFunctions` 7.8-6
`UnprofileLineByLine` 7.8-16
`UnprofileMethods` 7.8-8
`until` 4.19
`UntraceAllMethods` 7.3-4
`UntraceImmediateMethods` 7.3-5
`UntraceMethods`, for a list of operations 7.3-3
for operations 7.3-3
`UpdateMap` 73.5-7
`UpEnv` 6.5-1
`UppercaseChar` 27.7-14
`UppercaseString` 27.7-13
`UpperCentralSeriesOfGroup` 39.17-12
`UpperSubdiagonal` 24.12-2
`UseBasis` 57.3-5
`UseFactorRelation` 31.13-2
`UseIsomorphismRelation` 31.13-3
`UserHomeExpand` 9.7-9
`UserPreference` 3.2-3
`UseSubsetRelation` 31.13-1
utilities for editing GAP files 6.11
\(v_N\) (irrational value) 18.4-3
`ValidatePackageInfo` 76.3-14
`ValidatePackageInfo` 76.9
`Valuation` 68.1-3
`Value`, for a univariate rat. function, a value (and a one) 66.7-1
for rat. function, a list of indeterminates, a value (and a one) 66.7-1
`ValueCochain` 64.12-4
`ValueGlobal` 4.9-5
`ValueMolienSeries` 72.12-3
`ValueOption` 8.1-5
`ValuePol` 23.7-1
`ValuesOfClassFunction` 72.2-2
`VectorSpace` 61.2-1
`VectorSpaceByPcgsOfElementaryAbelianGroup` 45.14-1
verbosity of GAP output 7.4
version number, for a GAP package 76.17
`vi` 6.11
`View` 6.3-3
`ViewObj` 6.3-5
for a character table 71.13-1
for a ffe 59.6-1
for a string 27.1-4
for a table of marks 70.4-1
for class functions 72.5-1
`ViewString` 27.7-3
`vim` 6.11
virtual character 72.8-2
virtual characters 72.
`VirtualCharacter`, for a character table and a list 72.6-2
for a group and a list 72.6-2
\(w_N\) (irrational value) 18.4-3
`WeakPointerObj` 86.1-1
web sites, for GAP 1.5
`WedgeGModule` 69.2-3
`WeekDay` 27.10-5
`WeightLexOrdering` 34.4-8
`WeightOfGenerators` 34.4-10
`WeightOfVector`, for IsVectorObj 26.4-10
`WeightsTom` 70.7-12
`WeightVecFFE` 23.6-1
`WeylGroup` 64.7-3
`WeylOrbitIterator` 64.7-7
`Where` 6.4-5
`WhereWithVars` 6.4-5
`while` loop 4.18
`WordAlp` 27.7-10
words, in generators 39.5
Wreath product embedding 49.4-4
`WreathProduct` 49.4-1
`WreathProductImprimitiveAction` 49.4-2
`WreathProductOrdering` 34.4-13
`WreathProductProductAction` 49.4-3
`WriteAll` 10.4-3
`WriteByte` 10.4-1
`WriteGapIniFile` 3.2-3
`WriteLine` 10.4-2
`X`, for a family and a number 66.1-1
for a ring (and a name, and an exclusion list) 66.1-1
for a ring (and a number) 66.1-1
\(x_N\) (irrational value) 18.4-3
\(y_N\) (irrational value) 18.4-3
`Z`, for field size 59.1-2
for prime and degree 59.1-2
`ZClassRepsQClass` 44.6-9
`Zero` 31.10-3
`ZeroAttr` 31.10-3
`ZeroCoefficient` 65.2-5
`ZeroCoefficientRatFun` 66.21-4
`ZeroImmutable` 31.10-3
`ZeroMapping` 32.2-9
`ZeroMutable` 31.10-3
`ZeroOp` 31.10-3
`ZeroSameMutability` 31.10-3
`ZeroSM` 31.10-3
`ZeroVector`, for IsInt,IsVectorObj 26.4-7
`Zeta` 19.2-10
`ZippedProduct` 66.23-2
`ZippedSum` 66.23-1
`ZmodnZ` 14.5-2
`ZmodnZObj`, for a residue class family and integer 14.5-3
for two integers 14.5-3
`ZmodpZ` 14.5-2
`ZmodpZNC` 14.5-2
`ZumbroichBase` 60.3-1
`Zuppos` 39.20-12

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