GAP (HAP) - Index

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### Index

ActedGRoup 3.
ActingGRoup 3.
AcyclicSubomplexOfPureCubicalComplex 29.
Add 35.
AddFreeWords 20.
AddFreeWordsModP 20.
AlexanderMatrix 31.
AlexanderPolynomial 1.
AlexanderPolynomial 31.
AlgebraicReduction 20.
Append 35.
AreIsomorphicGradedAlgebras 2.
Array 35.
ArrayAssign 35.
ArrayAssignFunctions 35.
ArrayDimension 35.
ArrayDimensions 35.
ArrayIterate 35.
ArraySum 35.
ArrayToPureCubicalComplex 29.
ArrayValue 35.
ArrayValueFunctions 35.
AutomorphismGroupAsCatOneGroup 24.
AutomorphismGroupQuandle 32.
AutomorphismGroupQuandleAsPerm 32.
BaerInvariant 15.
Bar Cocomplex 25.
Bar Complex 25.
Bar Resolution 25.
BarCocomplexCoboundary 25.
BarCode 11.
BarCodeCompactDisplay 1.
BarCodeCompactDisplay 11.
BarCodeDisplay 1.
BarCodeDisplay 11.
BarComplexBoundary 25.
BarComplexEquivalence 25.
BarResolutionBoundary 25.
BarResolutionEquivalence 25.
BarResolutionHomotopy 25.
BettiNumber 1.
Bettinumbers 10.
Bettinumbers 28.
Bettinumbers 29.
BigStepLCS 39.
BinaryArrayToTextFile 35.
Bogomology 15.
BogomolovMultiplier 15.
BoundaryMap 1.
BoundaryMap 38.
BoundaryMatrix 38.
BoundaryOfPureCubicalComplex 29.
BoundingPureCubicalComplex 29.
CategoricalEnrichment 34.
CategoryName 34.
CayleyGraphOfGroup 1.
CayleyGraphOfGroup 28.
CayleyGraphOfGroupDisplay 1.
CayleyGraphOfGroupDisplay 17.
CayleyMetric 1.
CayleyMetric 33.
CcGroup 3.
CcGroup (HAPcocyclic) 19.
CechComplexOfPureCubicalComplex 28.
Centre 23.
Centre 3.
ChainComplex 1.
ChainComplex 30.
ChainComplex 9.
ChainComplexEquivalence 1.
ChainComplexOfPair 9.
ChainComplexOfQuotient 1.
ChainComplexOfRegularCWComplex 30.
ChainComplexOfSimplicialGroup 25.
ChainInclusionOfPureCubicalPair 29.
ChainMap 1.
ChainMapOfPureCubicalPairs 29.
ChainMapOfSimplicialMap 28.
ChevalleyEilenbergComplex 9.
ChildClose 36.
ChildCommand 36.
ChildCreate 4.
ChildFunction 37.
ChildGet 36.
ChildKill 4.
ChildProcess 36.
ChildPut 36.
ChildRead 37.
ChildReadEval 37.
Classify 39.
CliqueComplex 1.
CochainComplex 1.
Coclass 15.
CocycleCondition 19.
CocycleCondition 3.
Cohomology 1.
Cohomology 11.
CohomologyModule 11.
CohomologyModule 3.
CohomologyPrimePart 11.
ComplementOfFilteredPureCubicalComplex 29.
ComplementOfPureCubicalComplex 29.
Compose(f,g) 39.
CompositionSeriesOfFpGModules 21.
ConcentricFiltration 1.
ConjugatedResolution 5.
ConjugationQuandle 32.
ConnectedQuandle 32.
ConnectedQuandles 32.
ContractCubicalComplex 29.
ContractedComplex 1.
ContractedComplex 29.
ContractGraph 28.
ContractibleGcomplex 18.
ContractibleSubcomplex 1.
ContractibleSubcomplexOfSimplicialComplex 28.
ContractibleSubomplexOfPureCubicalComplex 29.
ContractPureCubicalComplex 29.
CoreducedChainComplex 9.
CountingBaryCentricSubdividedCells 27.
CountingCellsOfACellComplex 27.
CountingControlledSubdividedCells 27.
CoxeterComplex 18.
CoxeterDiagramComponents 26.
CoxeterDiagramDegree 26.
CoxeterDiagramDisplay 26.
CoxeterDiagramFpArtinGroup 26.
CoxeterDiagramFpCoxeterGroup 26.
CoxeterDiagramIsSpherical 26.
CoxeterDiagramMatrix 26.
CoxeterDiagramVertices 26.
CoxeterSubDiagram 26.
CriticalCells 1.
CriticalCellsOfRegularCWComplex 30.
CropPureCubicalComplex 29.
CubicalComplex 1.
CubicalComplexToRegularCWComplex 30.
CupProduct 1.
Dendrogram 29.
DendrogramDisplay 29.
DendrogramMat 1.
DendrogramToPersistenceMat 29.
DesuspensionFpGModule 21.
DesuspensionMtxModule 22.
DiagonalApproximation 1.
Dimension 38.
DirectProduct 1.
DirectProductGog 23.
DirectProductOfPureCubicalComplexes 29.
DirectSumOfFpGModules 21.
Display 1.
DisplayArcPresentation 1.
DisplayAvailableCellComplexes 27.
DisplayCSVknotFile 1.
DisplayDendrogram 1.
DisplayDendrogramMat 1.
DisplayPDBfile 1.
DVFReducedCubicalComplex 29.
EilenbergMacLaneSimplicialGroup 25.
EilenbergMacLaneSimplicialGroupMap 25.
EpiCentre 15.
EquivariantChainMap 2.
EquivariantChainMap 7.
EquivariantEuclideanSpace 1.
EquivariantEulerCharacteristic 27.
EquivariantOrbitPolytope 1.
EquivariantSpectralSequencePage 27.
EquivariantTwoComplex 1.
EuclideanApproximatedMetric 33.
EuclideanMetric 1.
EuclideanSquaredMetric 1.
EuclideanSquaredMetric 33.
EulerCharacteristic 1.
EulerCharacteristic 28.
EulerIntegral 1.
EvaluateProperty 38.
EvenSubgroup 26.
ExpansionOfRationalFunction 12.
ExportHapCellcomplexToDisk 27.
ExtendScalars 8.
FilteredTensorWithIntegers 8.
FilteredTensorWithInteres 1.
FilteredTensorWithInteresModP 1.
FiltrationTerm 1.
FpG_to_MtxModule 22.
FpGModule 21.
FpGModuleDualBasis 21.
FpGModuleHomomorphism 21.
FrameArray 35.
FramedPureCubicalComplex 29.
FreeGResolution 2.
FreeGResolution 5.
FundamentalDomainStandardSpaceGroup (HAPcryst) 18.
FundamentalGroup 1.
FundamentalGroup 30.
FundamentalGroupOfQuotient 1.
FundamentalGroupOfRegularCWComplex 30.
GaussCodeKnot 32.
GeneratorsOfFpGModule 21.
GeneratorsOfMtxModule 22.
GOuterGroup 23.
GOuterGroup 3.
GOuterGroupHomomorphismNC 23.
GOuterHomomorphismTester 23.
Graph 1.
GraphDisplay 28.
GraphOfGroups 26.
GraphOfGroupsDisplay 26.
GraphOfGroupsTest 26.
GraphOfResolutions 26.
GraphOfResolutionsDisplay 26.
GraphOfSimplicialComplex 28.
GroupAlgebraAsFpGModule 2.
GroupAlgebraAsFpGModule 21.
GroupCohomology 11.
GroupCohomology 2.
GroupHomology 11.
GroupHomology 2.
GroupHomologyOfCommutativeDiagram 34.
GroupOfResolution 38.
HammingMetric 1.
HammingMetric 33.
HAPcopyright 39.
HAPDerivation 2.
HAPPrintTo 36.
HAPRead 36.
HasInitialObject 34.
HasTerminalObject 34.
HenonOrbit 1.
HilbertPoincareSeries 2.
Homology 1.
Homology 11.
Homology 29.
HomologyOfDerivation 2.
HomologyPb 11.
HomologyPrimePart 11.
HomologyVectorSpace 11.
HomomorphismChainToCommutativeDiagram 34.
HomotopyEquivalentMaximalPureCubicalSubcomplex 29.
HomotopyEquivalentMinimalPureCubicalSubcomplex 29.
HomotopyGraph 1.
HomotopyGroup 24.
HomotopyGroup 25.
HomotopyModule 24.
HomToGModule 3.
HomToGModule 8.
HomToIntegers 1.
HomToIntegers 2.
HomToIntegers 8.
HomToIntegersModP 8.
HomToIntegralModule 2.
HomToIntegralModule 8.
IdConnectedQuandle 32.
IdentityAmongRelatorsDisplay 17.
IdentityArrow 34.
IdQuandle 32.
ImageOfFpGModuleHomomorphism 21.
IncidenceMatrixToGraph 28.
InduceScalars 8.
InitialArrow 34.
IntegralCohomologyGenerators 2.
IntegralCupProduct 13.
IntegralRingGenerators 13.
IntersectionOfFpGModules 21.
IsAspherical 1.
IsAspherical 17.
IsAvailableChild 36.
IsCategoryArrow 34.
IsCategoryObject 34.
IsConnectedQuandle 32.
IsFpGModuleHomomorphismData 21.
IsLatin 32.
IsLieAlgebraHomomorphism 39.
IsPNormal 27.
IsQuandle 32.
IsQuandleEnvelope 32.
IsSuperperfect 39.
KendallMetric 1.
KendallMetric 33.
KnotGroup 1.
KnotGroup 31.
KnotInvariantCedric 32.
KnotReflection 1.
KnotSum 1.
KnotSum 31.
LefschetzNumber 9.
LeibnizAlgebraHomology 11.
LeibnizComplex 2.
LeibnizComplex 9.
LeibnizQuasiCoveringHomomorphism 16.
Length 38.
LHSSpectralSequence 2.
LHSSpectralSequenceLastSheet 2.
LieAlgebraHomology 11.
LieCoveringHomomorphism 16.
LieEpiCentre 16.
LieExteriorSquare 16.
LieTensorCentre 16.
LieTensorSquare 16.
LinearHomomorphismsPersistenceMat 39.
ListToPseudoList 35.
LowerCentralSeriesLieAlgebra 8.
MakeHAPManual 39.
ManhattanMetric 1.
ManhattanMetric 33.
Map 38.
Mapping 34.
MaximalSimplicesToSimplicialComplex 28.
MaximalSubmoduleOfFpGModule 21.
MaximalSubmodulesOfFpGModule 21.
Mod2CohomologyRingPresentation 2.
Mod2CohomologyRingPresentation (HAPprime) 14.
ModPCohomologyGenerators 13.
ModPCohomologyGenerators 2.
ModPCohomologyRing 13.
ModPCohomologyRing 2.
ModPRingGenerators 13.
ModuleAsCatOneGroup 24.
MooreComplex 24.
MooreComplex 25.
MorseFiltration 29.
MultipleOfFpGModule 21.
MultiplyWord 20.
Negate 20.
NegateWord 20.
Nerve 1.
NerveOfCatOneGroup 25.
NerveOfCommutativeDiagram 34.
NextAvailableChild 36.
NonabelianExteriorProduct 15.
NonabelianSymmetricKernel 15.
NonabelianSymmetricSquare 15.
NonabelianTensorProduct 15.
NonabelianTensorSquare 15.
NormalSeriesToQuotientDiagram 34.
NormalSeriesToQuotientHomomorphisms 39.
NormalSubgroupAsCatOneGroup 24.
NumberOfHomomorphisms 32.
Object 34.
OrbitPolytope 1.
OrbitPolytope 18.
OrientRegularCWComplex 1.
ParallelList 37.
PartitionedNumberOfHomomorphisms 32.
PathComponent 1.
PathComponentOfPureCubicalComplex 29.
PathComponentsOfGraph 28.
PathComponentsOfSimplicialComplex 28.
PD2GC 32.
PermGroupToFilteredGraph 33.
PermToMatrixGroup 39.
PermuteArray 35.
PersistentBettiNumbers 1.
PersistentCohomologyOfQuotientGroupSeries 11.
PersistentHomologyOfCommutativeDiagramOfPGroups 34.
PersistentHomologyOfFilteredChainComplex 11.
PersistentHomologyOfFilteredPureCubicalComplex 11.
PersistentHomologyOfFilteredPureCubicalComplex 29.
PersistentHomologyOfPureCubicalComplex 11.
PersistentHomologyOfQuotientGroupSeries 11.
PersistentHomologyOfSubGroupSeries 11.
PiZero 1.
PlanarDiagramKnot 32.
PoincareSeries 12.
PoincareSeries 2.
PoincareSeries 2.
PoincareSeriesLHS (HAPprime) 14.
PoincareSeriesPrimePart 12.
PolytopalComplex 18.
PolytopalGenerators 18.
Prank 12.
PresentationKnotQuandle 32.
PresentationKnotQuandleKnot 32.
PresentationOfResolution 17.
PrimePartDerivedFunctor 11.
PrimePartDerivedFunctor 2.
PrintZGword 20.
ProjectedFpGModule 21.
ProjectionOfPureCubicalComplex 31.
PureComplexBoundary 1.
PureComplexComplement 1.
PureComplexDifference 1.
PureComplexIntersection 1.
PureComplexThickened 1.
PureComplexToSimplicialComplex 28.
PureComplexUnion 1.
PureCubicalComplex 1.
PureCubicalComplex 29.
PureCubicalComplexDifference 29.
PureCubicalComplexIntersection 29.
PureCubicalComplexToTextFile 29.
PureCubicalComplexUnion 29.
PureCubicalKnot 1.
PureCubicalKnot 31.
PurePermutahedralComplex 1.
PurePermutahedralKnot 1.
Quandle 32.
QuandleAxiomIsSatisfied 32.
QuandleQuandleEnveloppe 32.
Quandles 32.
QuasiIsomorph 24.
QuillenComplex 1.
QuillenComplex 28.
QuotientOfContractibleGcomplex 18.
Radical 2.
RadicalOfFpGModule 21.
RadicalSeries 2.
RadicalSeriesOfFpGModule 21.
RandomCubeOfPureCubicalComplex 29.
RandomHomomorphismOfFpGModules 21.
RandomSimplicialGraph 1.
RandomSimplicialTwoComplex 1.
Rank 21.
RankHomologyPGroup 11.
RankHomologyPGroup 2.
RankMat 10.
RankMatDestructive 10.
RankPrimeHomology 11.
ReadCSVfileAsPureCubicalKnot 1.
ReadImageAsFilteredPureCubicalComplex 1.
ReadImageAsFilteredPureCubicalComplex 29.
ReadImageAsPureCubicalComplex 1.
ReadImageAsPureCubicalComplex 29.
ReadImageAsWeightFunction 1.
ReadImageSequenceAsPureCubicalComplex 29.
ReadLinkImageAsPureCubicalComplex 29.
ReadPDBfileAsPureCubicalComplex 1.
ReadPDBfileAsPureCubicalComplex 31.
ReadPDBfileAsPurePermutahedralComplex 1.
RecalculateIncidenceNumbers 5.
ReducedSuspendedChainComplex 9.
ReduceTorsionSubcomplex 27.
RefineClassification 39.
RegularCWComplex 1.
RegularCWMap 1.
RegularCWPolytope 1.
RelativeSchurMultiplier 15.
ResolutionAbelianGroup 5.
ResolutionAlmostCrystalGroup 5.
ResolutionAlmostCrystalQuotient 5.
ResolutionArithmeticGroup 5.
ResolutionArtinGroup 5.
ResolutionAsphericalPresentation 5.
ResolutionBieberbachGroup 2.
ResolutionBieberbachGroup (HAPcryst) 5.
ResolutionBoundaryOfWord 20.
ResolutionCoxeterGroup 5.
ResolutionCubicalCrystGroup 2.
ResolutionDirectProduct 5.
ResolutionExtension 5.
ResolutionFiniteDirectProduct 5.
ResolutionFiniteExtension 5.
ResolutionFiniteGroup 2.
ResolutionFiniteGroup 5.
ResolutionFiniteSubgroup 5.
ResolutionFpGModule 6.
ResolutionGraphOfGroups 5.
ResolutionGTree 5.
ResolutionNilpotentGroup 2.
ResolutionNilpotentGroup 5.
ResolutionNormalSeries 2.
ResolutionNormalSeries 5.
ResolutionPrimePowerGroup 2.
ResolutionPrimePowerGroup 5.
ResolutionSL2Z 2.
ResolutionSL2Z 5.
ResolutionSmallFpGroup 5.
ResolutionSmallGroup 2.
ResolutionSubgroup 2.
ResolutionSubgroup 5.
ResolutionSubnormalSeries 5.
RestrictedEquivariantCWComplex 1.
ReverseSparseMat 10.
RightMultiplicationGroup 32.
RightMultiplicationGroupAsPerm 32.
RigidFacetsSubdivision 27.
RipsChainComplex 28.
RipsHomology 11.
ScatterPlot 1.
SimplicialComplex 1.
SimplicialComplexToRegularCWComplex 30.
SimplicialGroupMap 25.
SimplicialMap 28.
SimplicialMapNC 28.
SimplicialNerveOfGraph 28.
SimplifiedComplex 1.
SingularitiesOfPureCubicalComplex 29.
Size 1.
SkeletonOfCubicalComplex 29.
SkeletonOfSimplicialComplex 28.
SL2Z 39.
SolutionsMatDestructive 39.
Source 34.
Source 38.
SparseBoundaryMatrix 10.
SparseChainComplex 10.
SparseChainComplexOfRegularCWComplex 10.
SparseMat 10.
SparseRowAdd 10.
SparseRowInterchange 10.
SparseRowMult 10.
SparseSemiEchelon 10.
StandardCocycle 19.
StandardCocycle 3.
SumOfFpGModules 21.
SumOp 21.
SuspendedChainComplex 9.
SuspensionOfPureCubicalComplex 29.
SymmetricMatDisplay 33.
SymmetricMatrixToFilteredGraph 1.
SymmetricMatrixToFilteredGraph 33.
SymmetricMatrixToGraph 1.
SymmetricMatrixToIncidenceMatrix 28.
Syzygy 19.
Target 34.
Target 38.
TensorCentre 15.
TensorProductOfChainComplexes 9.
TensorWithIntegers 2.
TensorWithIntegers 8.
TensorWithIntegersModP 1.
TensorWithIntegersModP 2.
TensorWithIntegersModP 8.
TensorWithIntegralModule 8.
TensorWithRationals 8.
TensorWithTwistedIntegers 8.
TensorWithTwistedIntegersModP 8.
TerminalArrow 34.
TestHap 39.
ThickenedPureCubicalComplex 29.
ThickeningFiltration 1.
ThickeningFiltration 29.
ThirdHomotopyGroupOfSuspensionB 15.
TietzeReducedResolution 5.
TietzeReduction 20.
TorsionGeneratorsAbelianGroup 17.
TorsionSubcomplex 27.
TransposeOfSparseMat 10.
TreeOfGroupsToContractibleGcomplex 26.
TreeOfResolutionsToContractibleGcomplex 26.
TruncatedGComplex 18.
TwistedTensorProduct 5.
UnframeArray 35.
UniversalBarCode 11.
UpperEpicentralSeries 15.
VectorStabilizer 18.
VectorsToFpGModuleWords 21.
VectorsToSymmetricMatrix 1.
VectorsToSymmetricMatrix 28.
VectorsToSymmetricMatrix 33.
ViewPureCubicalComplex 29.
ViewPureCubicalKnot 31.
VisualizeTorsionSkeleton 27.
WritePureCubicalComplexAsImage 29.
XmodToHAP 24.
ZigZagContractedComplex 1.
ZigZagContractedPureCubicalComplex 29.
ZZPersistentHomologyOfPureCubicalComplex 11.

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