GAP (HAP) - Index

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### Index

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

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