GAP (HAP) - Index

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### Index

ActedGRoup 3.
ActingGRoup 3.
AcyclicSubomplexOfPureCubicalComplex 28.
Add 33.
AddFreeWords 19.
AddFreeWordsModP 19.
AlexanderMatrix 30.
AlexanderPolynomial 1.
AlexanderPolynomial 30.
AlgebraicReduction 19.
Append 33.
AreIsomorphicGradedAlgebras 2.
Array 33.
ArrayAssign 33.
ArrayAssignFunctions 33.
ArrayDimension 33.
ArrayDimensions 33.
ArrayIterate 33.
ArraySum 33.
ArrayToPureCubicalComplex 28.
ArrayValue 33.
ArrayValueFunctions 33.
AutomorphismGroupAsCatOneGroup 23.
BaerInvariant 14.
Bar Cocomplex 24.
Bar Complex 24.
Bar Resolution 24.
BarCocomplexCoboundary 24.
BarCode 10.
BarCodeCompactDisplay 1.
BarCodeCompactDisplay 10.
BarCodeDisplay 1.
BarCodeDisplay 10.
BarComplexBoundary 24.
BarComplexEquivalence 24.
BarResolutionBoundary 24.
BarResolutionEquivalence 24.
BarResolutionHomotopy 24.
BettiNumber 1.
Bettinumbers 27.
Bettinumbers 28.
Bettinumbers 9.
BigStepLCS 37.
BinaryArrayToTextFile 33.
Bogomology 14.
BogomolovMultiplier 14.
BoundaryMap 1.
BoundaryMap 36.
BoundaryMatrix 36.
BoundaryOfPureCubicalComplex 28.
BoundingPureCubicalComplex 28.
CategoricalEnrichment 32.
CategoryName 32.
CayleyGraphOfGroup 1.
CayleyGraphOfGroup 27.
CayleyGraphOfGroupDisplay 1.
CayleyGraphOfGroupDisplay 16.
CayleyMetric 1.
CayleyMetric 31.
CcGroup 3.
CcGroup (HAPcocyclic) 18.
CechComplexOfPureCubicalComplex 27.
Centre 22.
Centre 3.
ChainComplex 1.
ChainComplex 29.
ChainComplex 8.
ChainComplexEquivalence 1.
ChainComplexOfPair 8.
ChainComplexOfQuotient 1.
ChainComplexOfRegularCWComplex 29.
ChainComplexOfSimplicialGroup 24.
ChainInclusionOfPureCubicalPair 28.
ChainMap 1.
ChainMapOfPureCubicalPairs 28.
ChainMapOfSimplicialMap 27.
ChevalleyEilenbergComplex 8.
ChildClose 34.
ChildCommand 34.
ChildFunction 35.
ChildGet 34.
ChildProcess 34.
ChildPut 34.
ChildRead 35.
ChildReadEval 35.
Classify 37.
CliqueComplex 1.
CochainComplex 1.
Coclass 14.
CocycleCondition 18.
CocycleCondition 3.
Cohomology 1.
Cohomology 10.
CohomologyModule 10.
CohomologyModule 3.
CohomologyPrimePart 10.
ComplementOfFilteredPureCubicalComplex 28.
ComplementOfPureCubicalComplex 28.
Compose(f,g) 37.
CompositionSeriesOfFpGModules 20.
ConcentricFiltration 1.
ConjugatedResolution 4.
ContractCubicalComplex 28.
ContractedComplex 1.
ContractedComplex 28.
ContractGraph 27.
ContractibleGcomplex 17.
ContractibleSubcomplex 1.
ContractibleSubcomplexOfSimplicialComplex 27.
ContractibleSubomplexOfPureCubicalComplex 28.
ContractPureCubicalComplex 28.
CoreducedChainComplex 8.
CoxeterComplex 17.
CoxeterDiagramComponents 25.
CoxeterDiagramDegree 25.
CoxeterDiagramDisplay 25.
CoxeterDiagramFpArtinGroup 25.
CoxeterDiagramFpCoxeterGroup 25.
CoxeterDiagramIsSpherical 25.
CoxeterDiagramMatrix 25.
CoxeterDiagramVertices 25.
CoxeterSubDiagram 25.
CriticalCells 1.
CriticalCellsOfRegularCWComplex 29.
CropPureCubicalComplex 28.
CubicalComplex 1.
CubicalComplexToRegularCWComplex 29.
CupProduct 1.
Dendrogram 28.
DendrogramDisplay 28.
DendrogramMat 1.
DendrogramToPersistenceMat 28.
DesuspensionFpGModule 20.
DesuspensionMtxModule 21.
DiagonalApproximation 1.
Dimension 36.
DirectProduct 1.
DirectProductGog 22.
DirectProductOfPureCubicalComplexes 28.
DirectSumOfFpGModules 20.
Display 1.
DisplayArcPresentation 1.
DisplayAvailableCellComplexes 26.
DisplayCSVknotFile 1.
DisplayDendrogram 1.
DisplayDendrogramMat 1.
DisplayPDBfile 1.
DVFReducedCubicalComplex 28.
EilenbergMacLaneSimplicialGroup 24.
EilenbergMacLaneSimplicialGroupMap 24.
EpiCentre 14.
EquivariantChainMap 2.
EquivariantChainMap 6.
EquivariantEuclideanSpace 1.
EquivariantOrbitPolytope 1.
EquivariantTwoComplex 1.
EuclideanApproximatedMetric 31.
EuclideanMetric 1.
EuclideanSquaredMetric 1.
EuclideanSquaredMetric 31.
EulerCharacteristic 1.
EulerCharacteristic 27.
EulerIntegral 1.
EvaluateProperty 36.
EvenSubgroup 25.
ExpansionOfRationalFunction 11.
ExtendScalars 7.
FilteredTensorWithIntegers 7.
FilteredTensorWithInteres 1.
FilteredTensorWithInteresModP 1.
FiltrationTerm 1.
FpG_to_MtxModule 21.
FpGModule 20.
FpGModuleDualBasis 20.
FpGModuleHomomorphism 20.
FrameArray 33.
FramedPureCubicalComplex 28.
FreeGResolution 2.
FreeGResolution 4.
FundamentalDomainStandardSpaceGroup (HAPcryst) 17.
FundamentalGroup 1.
FundamentalGroup 29.
FundamentalGroupOfQuotient 1.
FundamentalGroupOfRegularCWComplex 29.
GeneratorsOfFpGModule 20.
GeneratorsOfMtxModule 21.
GOuterGroup 22.
GOuterGroup 3.
GOuterGroupHomomorphismNC 22.
GOuterHomomorphismTester 22.
Graph 1.
GraphDisplay 27.
GraphOfGroups 25.
GraphOfGroupsDisplay 25.
GraphOfGroupsTest 25.
GraphOfResolutions 25.
GraphOfResolutionsDisplay 25.
GraphOfSimplicialComplex 27.
GroupAlgebraAsFpGModule 2.
GroupAlgebraAsFpGModule 20.
GroupCohomology 10.
GroupCohomology 2.
GroupHomology 10.
GroupHomology 2.
GroupHomologyOfCommutativeDiagram 32.
GroupOfResolution 36.
HammingMetric 1.
HammingMetric 31.
HAPcopyright 37.
HAPDerivation 2.
HAPPrintTo 34.
HAPRead 34.
HasInitialObject 32.
HasTerminalObject 32.
HenonOrbit 1.
HilbertPoincareSeries 2.
Homology 1.
Homology 10.
Homology 28.
HomologyOfDerivation 2.
HomologyPb 10.
HomologyPrimePart 10.
HomologyVectorSpace 10.
HomomorphismChainToCommutativeDiagram 32.
HomotopyEquivalentMaximalPureCubicalSubcomplex 28.
HomotopyEquivalentMinimalPureCubicalSubcomplex 28.
HomotopyGraph 1.
HomotopyGroup 23.
HomotopyGroup 24.
HomotopyModule 23.
HomToGModule 3.
HomToGModule 7.
HomToIntegers 1.
HomToIntegers 2.
HomToIntegers 7.
HomToIntegersModP 7.
HomToIntegralModule 2.
HomToIntegralModule 7.
IdentityAmongRelatorsDisplay 16.
IdentityArrow 32.
ImageOfFpGModuleHomomorphism 20.
IncidenceMatrixToGraph 27.
InduceScalars 7.
InitialArrow 32.
IntegralCohomologyGenerators 2.
IntegralCupProduct 12.
IntegralRingGenerators 12.
IntersectionOfFpGModules 20.
IsAspherical 1.
IsAspherical 16.
IsAvailableChild 34.
IsCategoryArrow 32.
IsCategoryObject 32.
IsFpGModuleHomomorphismData 20.
IsLieAlgebraHomomorphism 37.
IsPnormal 26.
IsSuperperfect 37.
KendallMetric 1.
KendallMetric 31.
KnotGroup 1.
KnotGroup 30.
KnotReflection 1.
KnotSum 1.
KnotSum 30.
LefschetzNumber 8.
LeibnizAlgebraHomology 10.
LeibnizComplex 2.
LeibnizComplex 8.
LeibnizQuasiCoveringHomomorphism 15.
Length 36.
LHSSpectralSequence 2.
LHSSpectralSequenceLastSheet 2.
LieAlgebraHomology 10.
LieCoveringHomomorphism 15.
LieEpiCentre 15.
LieExteriorSquare 15.
LieTensorCentre 15.
LieTensorSquare 15.
LinearHomomorphismsPersistenceMat 37.
ListToPseudoList 33.
LowerCentralSeriesLieAlgebra 7.
MakeHAPManual 37.
ManhattanMetric 1.
ManhattanMetric 31.
Map 36.
Mapping 32.
MaximalSimplicesToSimplicialComplex 27.
MaximalSubmoduleOfFpGModule 20.
MaximalSubmodulesOfFpGModule 20.
Mod2CohomologyRingPresentation 2.
Mod2CohomologyRingPresentation (HAPprime) 13.
ModPCohomologyGenerators 12.
ModPCohomologyGenerators 2.
ModPCohomologyRing 12.
ModPCohomologyRing 2.
ModPRingGenerators 12.
ModuleAsCatOneGroup 23.
MooreComplex 23.
MooreComplex 24.
MorseFiltration 28.
MultipleOfFpGModule 20.
MultiplyWord 19.
Negate 19.
NegateWord 19.
Nerve 1.
NerveOfCatOneGroup 24.
NerveOfCommutativeDiagram 32.
NextAvailableChild 34.
NonabelianExteriorProduct 14.
NonabelianSymmetricKernel 14.
NonabelianSymmetricSquare 14.
NonabelianTensorProduct 14.
NonabelianTensorSquare 14.
NormalSeriesToQuotientDiagram 32.
NormalSeriesToQuotientHomomorphisms 37.
NormalSubgroupAsCatOneGroup 23.
Object 32.
OrbitPolytope 1.
OrbitPolytope 17.
OrientRegularCWComplex 1.
ParallelList 35.
PathComponent 1.
PathComponentOfPureCubicalComplex 28.
PathComponentsOfGraph 27.
PathComponentsOfSimplicialComplex 27.
PermGroupToFilteredGraph 31.
PermToMatrixGroup 37.
PermuteArray 33.
PersistentBettiNumbers 1.
PersistentCohomologyOfQuotientGroupSeries 10.
PersistentHomologyOfCommutativeDiagramOfPGroups 32.
PersistentHomologyOfFilteredChainComplex 10.
PersistentHomologyOfFilteredPureCubicalComplex 10.
PersistentHomologyOfFilteredPureCubicalComplex 28.
PersistentHomologyOfPureCubicalComplex 10.
PersistentHomologyOfQuotientGroupSeries 10.
PersistentHomologyOfSubGroupSeries 10.
PiZero 1.
PoincareSeries 11.
PoincareSeries 2.
PoincareSeries 2.
PoincareSeriesLHS (HAPprime) 13.
PoincareSeriesPrimePart 11.
PolytopalComplex 17.
PolytopalGenerators 17.
Prank 11.
PresentationOfResolution 16.
PrimePartDerivedFunctor 10.
PrimePartDerivedFunctor 2.
PrintZGword 19.
ProjectedFpGModule 20.
ProjectionOfPureCubicalComplex 30.
PureComplexBoundary 1.
PureComplexComplement 1.
PureComplexDifference 1.
PureComplexIntersection 1.
PureComplexThickened 1.
PureComplexToSimplicialComplex 27.
PureComplexUnion 1.
PureCubicalComplex 1.
PureCubicalComplex 28.
PureCubicalComplexDifference 28.
PureCubicalComplexIntersection 28.
PureCubicalComplexToTextFile 28.
PureCubicalComplexUnion 28.
PureCubicalKnot 1.
PureCubicalKnot 30.
PurePermutahedralComplex 1.
PurePermutahedralKnot 1.
QuasiIsomorph 23.
QuillenComplex 1.
QuillenComplex 27.
QuotientOfContractibleGcomplex 17.
Radical 2.
RadicalOfFpGModule 20.
RadicalSeries 2.
RadicalSeriesOfFpGModule 20.
RandomCubeOfPureCubicalComplex 28.
RandomHomomorphismOfFpGModules 20.
RandomSimplicialGraph 1.
RandomSimplicialTwoComplex 1.
Rank 20.
RankHomologyPGroup 10.
RankHomologyPGroup 2.
RankMat 9.
RankMatDestructive 9.
RankPrimeHomology 10.
ReadCSVfileAsPureCubicalKnot 1.
ReadImageAsFilteredPureCubicalComplex 1.
ReadImageAsFilteredPureCubicalComplex 28.
ReadImageAsPureCubicalComplex 1.
ReadImageAsPureCubicalComplex 28.
ReadImageAsWeightFunction 1.
ReadImageSequenceAsPureCubicalComplex 28.
ReadLinkImageAsPureCubicalComplex 28.
ReadPDBfileAsPureCubicalComplex 1.
ReadPDBfileAsPureCubicalComplex 30.
ReadPDBfileAsPurePermutahedralComplex 1.
RecalculateIncidenceNumbers 4.
ReducedSuspendedChainComplex 8.
ReduceTorsionSubcomplex 26.
RefineClassification 37.
RegularCWComplex 1.
RegularCWMap 1.
RegularCWPolytope 1.
RelativeSchurMultiplier 14.
ResolutionAbelianGroup 4.
ResolutionAlmostCrystalGroup 4.
ResolutionAlmostCrystalQuotient 4.
ResolutionArithmeticGroup 4.
ResolutionArtinGroup 4.
ResolutionAsphericalPresentation 4.
ResolutionBieberbachGroup 2.
ResolutionBieberbachGroup (HAPcryst) 4.
ResolutionBoundaryOfWord 19.
ResolutionCoxeterGroup 4.
ResolutionCubicalCrystGroup 2.
ResolutionDirectProduct 4.
ResolutionExtension 4.
ResolutionFiniteDirectProduct 4.
ResolutionFiniteExtension 4.
ResolutionFiniteGroup 2.
ResolutionFiniteGroup 4.
ResolutionFiniteSubgroup 4.
ResolutionFpGModule 5.
ResolutionGraphOfGroups 4.
ResolutionGTree 4.
ResolutionNilpotentGroup 2.
ResolutionNilpotentGroup 4.
ResolutionNormalSeries 2.
ResolutionNormalSeries 4.
ResolutionPrimePowerGroup 2.
ResolutionPrimePowerGroup 4.
ResolutionSL2Z 2.
ResolutionSL2Z 4.
ResolutionSmallFpGroup 4.
ResolutionSmallGroup 2.
ResolutionSubgroup 2.
ResolutionSubgroup 4.
ResolutionSubnormalSeries 4.
RestrictedEquivariantCWComplex 1.
ReverseSparseMat 9.
RipsChainComplex 27.
RipsHomology 10.
ScatterPlot 1.
SimplicialComplex 1.
SimplicialComplexToRegularCWComplex 29.
SimplicialGroupMap 24.
SimplicialMap 27.
SimplicialMapNC 27.
SimplicialNerveOfGraph 27.
SimplifiedComplex 1.
SingularitiesOfPureCubicalComplex 28.
Size 1.
SkeletonOfCubicalComplex 28.
SkeletonOfSimplicialComplex 27.
SL2Z 37.
SolutionsMatDestructive 37.
Source 32.
Source 36.
SparseBoundaryMatrix 9.
SparseChainComplex 9.
SparseChainComplexOfRegularCWComplex 9.
SparseMat 9.
SparseRowAdd 9.
SparseRowInterchange 9.
SparseRowMult 9.
SparseSemiEchelon 9.
StandardCocycle 18.
StandardCocycle 3.
SumOfFpGModules 20.
SumOp 20.
SuspendedChainComplex 8.
SuspensionOfPureCubicalComplex 28.
SymmetricMatDisplay 31.
SymmetricMatrixToFilteredGraph 1.
SymmetricMatrixToFilteredGraph 31.
SymmetricMatrixToGraph 1.
SymmetricMatrixToIncidenceMatrix 27.
Syzygy 18.
Target 32.
Target 36.
TensorCentre 14.
TensorProductOfChainComplexes 8.
TensorWithIntegers 2.
TensorWithIntegers 7.
TensorWithIntegersModP 1.
TensorWithIntegersModP 2.
TensorWithIntegersModP 7.
TensorWithIntegralModule 7.
TensorWithRationals 7.
TensorWithTwistedIntegers 7.
TensorWithTwistedIntegersModP 7.
TerminalArrow 32.
TestHap 37.
ThickenedPureCubicalComplex 28.
ThickeningFiltration 1.
ThickeningFiltration 28.
ThirdHomotopyGroupOfSuspensionB 14.
TietzeReducedResolution 4.
TietzeReduction 19.
TorsionGeneratorsAbelianGroup 16.
TorsionSubcomplex 26.
TransposeOfSparseMat 9.
TreeOfGroupsToContractibleGcomplex 25.
TreeOfResolutionsToContractibleGcomplex 25.
TruncatedGComplex 17.
TwistedTensorProduct 4.
UnframeArray 33.
UniversalBarCode 10.
UpperEpicentralSeries 14.
VectorStabilizer 17.
VectorsToFpGModuleWords 20.
VectorsToSymmetricMatrix 1.
VectorsToSymmetricMatrix 27.
VectorsToSymmetricMatrix 31.
ViewPureCubicalComplex 28.
ViewPureCubicalKnot 30.
VisualizeTorsionSkeleton 26.
WritePureCubicalComplexAsImage 28.
XmodToHAP 23.
ZigZagContractedComplex 1.
ZigZagContractedPureCubicalComplex 28.
ZZPersistentHomologyOfPureCubicalComplex 10.

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