GAP (XMod) - Index

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### Index

2d-domain 2.
2d-group 2.
2d-mapping 3.
2dimensional-domain with objects 9.1
3d-domain 8.
3d-group 8.
3d-mapping 8.3
abelian module 11.2
`AbelianModuleAction` 11.2-1
`AbelianModuleGroup` 11.2-1
`AbelianModuleObject` 11.2-1
actor 6.1
`ActorCrossedSquare` 8.2-1
`ActorXMod` 6.1-2
`AllCat1DataGroupsBasic` 2.6-2
`AllDerivations` 5.2-1
`AllInducedXMods` 7.2-2
`AllLoopsXMod` 10.1-1
`AllSections` 5.2-4
`AllStemGroupFamilies` 4.2-2
`AllStemGroupIds` 4.2-2
`AllXMods` 4.1-11
`AllXModsUpToIsomorphism` 4.1-12
`AreIsoclinicDomains`, for crossed modules of groups 4.3-1
for groups 4.2-1
AutoGroup 2.1-2
`AutomorphismPermGroup` 6.1-1
`Boundary`, for cat1-groups 2.4-2
for crossed modules 2.1-2
cat1-group 2.4
`Cat1Group` 2.4-1
`Cat1GroupByPeifferQuotient` 2.4-3
`Cat1GroupOfXMod` 2.5-2
`Cat1Morphism` 3.3-1
`Cat1MorphismByHoms` 3.3-1
`Cat1Select` 2.6-1
cat2-group 8.4
`Cat2Group` 8.4-1
`Cat2GroupOfCrossedSquare` 8.4-2
catn-group 8.5
`Centralizer` 4.1-7
`CentralQuotient` 4.1-8
for crossed modules 8.2-2
`CentreXMod` 4.1-7
`CommutatorSubXMod` 4.1-4
`CompositionMorphism` 3.4-1
`CoproductInfo` 7.1-1
`CoproductXMod` 7.1-1
`CrossActionSubgroup` 4.1-4
crossed module 2.1
crossed module morphism 3.1
crossed module of groupoids 9.
crossed module over a groupoid 9.1
crossed pairing 8.1
crossed square 6.1-2 8.1
crossed square morphism 8.3
`CrossedPairing` 8.2-4
`CrossedSquare` 8.2-1
`CrossedSquareByNormalSubgroups` 8.2-1
`CrossedSquareOfCat2Group` 8.4-2
derivation, of crossed module 5.1
`DerivationByImages` 5.1-1
`DerivationBySection` 5.1-3
`DerivationClass` 5.2-1
`DerivedSubXMod` 4.1-5
`Diagonal2DimensionalGroup` 8.2-4
`DiagonalAction` 8.2-4
`DiagonalCat1Group` 2.4-3
`DirectProductOp`, for crossed modules 2.1-1
`Displacement` 4.1-3
`DisplacementGroup` 4.1-3
`DisplacementSubgroup` 4.1-3
display a 2d-group 2.1-4
display a 2d-mapping 3.2-3
`Down2DimensionalGroup` 8.2-4
`Down2DimensionalMorphism` 8.3-1
`EndomorphismPreCat1Group` 2.5-1
`ExternalSetXMod` 2.1-4
`FactorPreXMod` 4.1-1
`FixedPointSubgroupXMod` 4.1-6
free loop space 10.1
`GeneratingAutomorphisms` 6.1-1
`HeadMap` 2.4-2
`IdentityDerivation` 5.1-4
`IdentityMapping`, for pre-xmods 3.2-3
for precat1-morphisms 3.3-1
`IdentitySection` 5.1-4
`IdGroup`, for 2d-groups 2.7-1
for crossed modules 2.1-4
`ImageElmCrossedPairing` 8.2-4
`ImageElmXModAction` 2.1-3
`ImagesList` 5.2-2
`ImagesTable` 5.2-1
inclusion mapping 11.1
`InclusionInducedXModByCopower` 7.2-1
`InclusionMappingGroups` 11.1-1
`InclusionMorphism2DimensionalDomains`, for cat1-groups 3.3-1
for crossed modules 3.2-3
induced cat1-groups 7.3
induced crossed module 7.2
`InducedCat1Group` 7.3-1
`InducedCat1GroupByFreeProduct` 7.3-1
`InducedXMod` 7.2-1
`InfoXMod` 1.
`InnerActorXMod` 6.1-3
`InnerAutomorphismCat1` 3.3-1
`InnerAutomorphismsByNormalSubgroup` 11.1-2
`InnerAutomorphismXMod` 3.2-3
`InnerMorphism` 6.1-3
`IntersectionSubXMods` 4.1-2
Is2DimensionalDomain 2.2
Is2DimensionalGroup 2.2
Is2DimensionalGroupWithObjects 9.1-2
`Is3dObject` 8.2-3
`IsAbelian2DimensionalGroup` 4.1-9
`IsAbelianModule` 11.2-1
IsAbelianModule2DimensionalGroup 2.2
`IsAspherical2DimensionalGroup` 4.1-9
`IsAutomorphism3dObject` 8.3-2
IsAutomorphismGroup2DimensionalGroup 2.2
`IsBijective` 8.3-2
for pre-xmod morphisms 3.2-2
`IsCat1Group` 2.5-1
`IsCat1Morphism` 3.3-1
`IsCat2Group` 8.4-1
IsCentralExtension2DimensionalGroup 2.2
`IsCrossedSquare` 8.2-3
`IsCrossedSquareMorphism` 8.3-2
`IsDerivation` 5.1-1
`IsDirectProductWithCompleteDigraphDomain` 9.1-2
`IsEndo2DimensionalMapping` 3.2-2
`IsEndomorphism3dObject` 8.3-2
`IsEndomorphismPreCat1Group` 2.5-1
`IsFaithful2DimensionalGroup` 4.1-9
`IsFp2DimensionalGroup` 2.2-1
`IsFp3dObject` 8.2-3
`IsFpPreXModWithObjects` 9.1-3
`IsGroupOfAutomorphisms` 11.1-2
`IsIdentityCat1Group` 2.5-1
`IsInducedXMod` 7.2-1
`IsInjective`, for pre-xmod morphisms 3.2-2
IsMonoidOfUp2DimensionalMappingsObj 5.2
`IsNilpotent2DimensionalGroup` 4.1-10
IsNormal for crossed modules 2.2-1
IsNormalSubgroup2DimensionalGroup 2.2
`IsoclinicMiddleLength`, for crossed modules of groups 4.3-3
for groups 4.2-3
`IsoclinicRank`, for crossed modules of groups 4.3-3
for groups 4.2-3
`IsoclinicStemDomain`, for crossed modules of groups 4.3-2
for groups 4.2-2
`Isoclinism`, for crossed modules 4.3-1
for groups 4.2-1
`IsomorphismByIsomorphisms` 3.2-4
`IsomorphismFp2DimensionalGroup`, for pre-cat1 morphisms 3.3-2
`IsomorphismPc2DimensionalGroup`, for pre-cat1 morphisms 3.3-2
for pre-xmod morphisms 3.2-4
`IsomorphismPerm2DimensionalGroup`, for pre-cat1 morphisms 3.3-2
for pre-xmod morphisms 3.2-4
`IsomorphismPermObject` 3.3-2
`IsomorphismXMods` 4.1-12
`IsPc2DimensionalGroup` 2.2-1
`IsPc3dObject` 8.2-3
`IsPcPreXModWithObjects` 9.1-3
`IsPerm2DimensionalGroup` 2.2-1
`IsPerm3dObject` 8.2-3
`IsPermPreXModWithObjects` 9.1-3
`IsPreCat1Morphism` 3.3-1
`IsPreCrossedSquare` 8.2-3
`IsPreCrossedSquareMorphism` 8.3-2
`IsPreXCat1Group` 2.5-1
`IsPreXMod` 2.2-1
`IsPreXModMorphism` 3.2-1
`IsPreXModWithObjects` 9.1-2
`IsSection` 5.1-3
`IsSimplyConnected2DimensionalGroup` 4.1-9
`IsSingleValued`, for pre-xmod morphisms 3.2-2
`IsStemDomain`, for crossed modules of groups 4.3-2
for groups 4.2-2
`IsSurjective`, for pre-xmod morphisms 3.2-2
`IsTotal`, for pre-xmod morphisms 3.2-2
IsTrivialAction2DimensionalGroup 2.2
`IsUp2DimensionalMapping` 5.1-1
`IsXMod` 2.2-1
`IsXModMorphism` 3.2-1
`IsXModWithObjects` 9.1-2
`Kernel`, for 2d-mappings 3.4-2
`Kernel2DimensionalMapping` 3.4-2
`KernelEmbedding` 2.4-2
`Left2DimensionalGroup` 8.2-4
`Left2DimensionalMorphism` 8.3-1
loop space 10.1
`LoopsXMod` 10.1-1
`LowerCentralSeriesOfXMod` 4.1-10
`LueXMod` 6.1-2
`MappingToOne` 11.1-1
morphism 3.2
morphism of 2d-group 3.1
morphism of 3d-group 8.3
`MorphismOfInducedXMod` 7.2-1
`Name` 8.2-1
for cat1-groups 2.4-2
for crossed modules 2.1-4
`NaturalMorphismByNormalSubPreXMod` 4.1-1
`NilpotencyClass2DimensionalGroup` 4.1-10
`Normalizer` 4.1-7
`NormalSubXMods` 2.2-2
`NorrieXMod` 6.1-2
ObjectList 9.1-4
operations on morphisms 3.4
order of a 2d-automorphism 3.2-3
Peiffer subgroup 2.3-1
`PeifferSubgroup` 2.3-2
`PermAutomorphismAsXModMorphism` 6.1-1
pre-crossed module 2.3
`PreCat1Group` 2.4-1
`PreCat1GroupByEndomorphisms` 2.4-1
`PreCat1GroupByNormalSubgroup` 2.4-3
`PreCat1GroupByTailHeadEmbedding` 2.4-1
`PreCat1GroupOfPreXMod` 2.5-2
`PreCat1Morphism` 3.3-1
`PreCat1MorphismByHoms` 3.3-1
`PreCat2Group` 8.4-1
`PreCat2GroupByPreCat1Groups` 8.4-1
`PreXModByBoundaryAndAction` 2.3-1
`PreXModMorphism` 3.2-3
`PreXModMorphismByHoms` 3.2-3
`PreXModOfPreCat1Group` 2.5-2
`PrincipalDerivation` 5.1-2
`PrincipalDerivations` 5.2-3
`Range` 8.3-1
for 2d-group mappings 3.1-1
for cat1-groups 2.4-2
for crossed modules 2.1-2
`RangeEmbedding` 2.4-2
`RangeHom` 3.1-1
regular derivation 5.1
`RegularDerivations` 5.2-2
`RegularSections` 5.2-4
restriction mapping 11.1
`ReverseCat1Group` 2.4-3
`Right2DimensionalGroup` 8.2-4
`Right2DimensionalMorphism` 8.3-1
`Root2dGroup` 9.1-4
section, of cat1-group 5.1
`SectionByDerivation` 5.1-3
`SectionByHomomorphism` 5.1-3
selection of a small cat1-group 2.6
`SinglePiecePreXModWithObjects` 9.1-1
`Size`, for cat1-groups 2.4-2
for crossed modules 2.1-4
`SmallerDegreePerm2DimensionalDomain`, for pre-cat1 morphisms 3.3-2
`Source` 8.3-1
for 2d-group mappings 3.1-1
for cat1-groups 2.4-2
for crossed modules 2.1-2
`SourceHom` 3.1-1
`StabilizerSubgroupXMod` 4.1-6
`StructureDescription`, for 2d-groups 2.7-1
`SubPreXMod` 2.3-1
`SubXMod` 2.2-2
`SurjectiveInducedXMod` 7.2-1
`TailMap` 2.4-2
`Transpose3dGroup` 8.2-1
`TrivialSubXMod` 2.2-2
up 2d-mapping of 2d-group 5.
`Up2DimensionalGroup` 8.2-4
`Up2DimensionalMorphism` 8.3-1
`UpGeneratorImages` 5.1-1
`UpImagePositions` 5.1-1
version 1 for GAP 3 12.1-1
version 2.001 for GAP 4 12.1-3
Whitehead group 5.1
Whitehead monoid 5.1
Whitehead multiplication 5.1
`WhiteheadGroupTable` 5.2-2
`WhiteheadMonoidTable` 5.2-1
`WhiteheadOrder` 5.1-5
`WhiteheadPermGroup` 5.2-2
`WhiteheadProduct` 5.1-5
`WhiteheadTransformationMonoid` 5.2-1
`WhiteheadXMod` 6.1-2
`XMod` 2.1-1
`XModAction`, for crossed modules of groupoids 9.1-4
for crossed modules of groups 2.1-2
`XModByAbelianModule` 2.1-1
`XModByAutomorphismGroup` 2.1-1
`XModByBoundaryAndAction` 2.1-1
`XModByCentralExtension` 2.1-1
`XModByGroupOfAutomorphisms` 2.1-1
`XModByInnerAutomorphismGroup` 2.1-1
`XModByNormalSubgroup` 2.1-1
`XModByPeifferQuotient` 2.3-2
`XModByTrivialAction` 2.1-1
`XModCentre` 6.1-3
`XModMorphism` 3.2-3
`XModMorphismByHoms` 3.2-3
`XModOfCat1Group` 2.5-2

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