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 10.2 AbelianModuleAction 10.2-1 AbelianModuleGroup 10.2-1 AbelianModuleObject 10.2-1 actor 6.1 ActorCrossedSquare 8.2-1 ActorXMod 6.1-2 AllCat1DataGroupsBasic 2.6-2 AllDerivations 5.2-1 AllInducedXMods 7.2-2 AllSections 5.2-1 AllStemGroupFamilies 4.2-2 AllStemGroupIds 4.2-2 AllXMods 4.1-11 AllXModsUpToIsomorphism 4.1-12 AreIsoclinicDomains 4.2-1 4.3-1 AutoGroup 2.1-2 AutomorphismPermGroup 6.1-1 6.1-2 Boundary 2.1-2 2.4-2 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 8.2-2 CentreXMod 4.1-7 CommutatorSubXMod 4.1-4 CompositeDerivation 5.2-2 CompositeSection 5.2-2 CompositionMorphism 3.4-1 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 5.1-1 DerivationByImages 5.1-2 DerivationBySection 5.1-3 DerivedSubXMod 4.1-5 DiagonalAction 8.2-4 DiagonalCat1Group 2.4-3 DirectProductOp 2.1-1 Displacement 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 GeneratingAutomorphisms 6.1-1 HeadMap 2.4-2 IdentityMapping 3.2-3 3.3-1 IdGroup 2.1-4 2.7-1 ImageElmCrossedPairing 8.2-4 ImageElmXModAction 2.1-3 ImagesList 5.2-1 ImagesTable 5.2-1 inclusion mapping 10.1 InclusionMappingGroups 10.1-1 InclusionMorphism2DimensionalDomains 3.2-3 3.3-1 induced crossed module 7.2 InducedCat1 7.2-1 InducedXMod 7.2-1 InfoXMod 1. InnerActorXMod 6.1-3 InnerAutomorphismCat1 3.3-1 InnerAutomorphismsByNormalSubgroup 10.1-2 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 10.2-1 IsAbelianModule2DimensionalGroup 2.2 IsAspherical2DimensionalGroup 4.1-9 IsAutomorphism3dObject 8.3-2 IsAutomorphismGroup2DimensionalGroup 2.2 IsBijective 3.2-2 8.3-2 IsCat1Group 2.5-1 IsCat1Morphism 3.3-1 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 10.1-2 IsIdentityCat1Group 2.5-1 IsInducedXMod 7.2-1 IsInjective 3.2-2 IsNilpotent2DimensionalGroup 4.1-10 IsNormal for crossed modules 2.2-1 IsNormalSubgroup2DimensionalGroup 2.2 IsoclinicMiddleLength 4.2-3 4.3-3 IsoclinicRank 4.2-3 4.3-3 IsoclinicStemDomain 4.2-2 4.3-2 Isoclinism 4.2-1 4.3-1 IsomorphismByIsomorphisms 3.2-4 IsomorphismFp2DimensionalGroup 3.3-2 IsomorphismPc2DimensionalGroup 3.2-4 3.3-2 IsomorphismPerm2DimensionalGroup 3.2-4 3.3-2 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 5.1-1 IsSimplyConnected2DimensionalGroup 4.1-9 IsSingleValued 3.2-2 IsStemDomain 4.2-2 4.3-2 IsSurjective 3.2-2 IsTotal 3.2-2 IsTrivialAction2DimensionalGroup 2.2 IsUp2DimensionalMapping 5.1-1 IsXMod 2.2-1 IsXModMorphism 3.2-1 IsXModWithObjects 9.1-2 Kernel 3.4-2 Kernel2DimensionalMapping 3.4-2 KernelEmbedding 2.4-2 Left2DimensionalGroup 8.2-4 Left2DimensionalMorphism 8.3-1 License .-2 LowerCentralSeriesOfXMod 4.1-10 LueXMod 6.1-2 MappingToOne 10.1-1 morphism 3.2 morphism of 2d-group 3.1 morphism of 3d-group 8.3 MorphismOfInducedXMod 7.2-1 Name 2.1-4 2.4-2 8.2-1 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 Range 2.1-2 2.4-2 3.1-1 8.3-1 RangeEmbedding 2.4-2 RangeHom 3.1-1 regular derivation 5.1-1 RegularDerivations 5.2-1 RegularSections 5.2-1 restriction mapping 10.1 ReverseCat1Group 2.4-3 Right2DimensionalGroup 8.2-4 Right2DimensionalMorphism 8.3-1 Root2dGroup 9.1-4 section, of cat1-group 5.1-1 SectionByDerivation 5.1-3 SectionByImages 5.1-3 selection of a small cat1-group 2.6 SinglePiecePreXModWithObjects 9.1-1 Size 2.1-4 2.4-2 SmallerDegreePerm2DimensionalDomain 3.3-2 Source 2.1-2 2.4-2 3.1-1 8.3-1 SourceHom 3.1-1 StabilizerSubgroupXMod 4.1-6 StructureDescription 2.7-1 SubPreXMod 2.3-1 SubXMod 2.2-2 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 5.2-2 UpImagePositions 5.2-2 version 1 for GAP 3 11.1-1 version 2.001 for GAP 4 11.1-3 Whitehead group 5.1-1 Whitehead monoid 5.1-1 Whitehead multiplication 5.1 5.1-1 WhiteheadGroupTable 5.2-3 WhiteheadMonoidTable 5.2-3 WhiteheadPermGroup 5.2-3 WhiteheadTransMonoid 5.2-3 WhiteheadXMod 6.1-2 XMod 2.1-1 XModAction 2.1-2 9.1-4 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 -------------------------------------------------------