AbelianModuleAction 12.2-1 AbelianModuleGroup 12.2-1 AbelianModuleObject 12.2-1 ActorCrossedSquare 8.2-4 ActorXMod 6.1-2 AllCat1DataGroupsBasic 2.7-2 AllCat1Groups 2.6-2 AllCat1GroupsIterator 2.6-2 AllCat1GroupsNumber 2.6-2 AllCat1GroupsUpToIsomorphism 2.6-2 AllCat1GroupsWithImage 2.6-1 AllCat1GroupsWithImageIterator 2.6-1 AllCat1GroupsWithImageNumber 2.6-1 AllCat1GroupsWithImageUpToIsomorphism 2.6-1 AllCat2GroupFamilies 8.5-2 AllCat2Groups 8.5-2 AllCat2GroupsIterator 8.5-2 AllCat2GroupsNumber 8.5-2 AllCat2GroupsUpToIsomorphism 8.5-2 AllCat2GroupsWithImages 8.5-1 AllCat2GroupsWithImagesIterator 8.5-1 AllCat2GroupsWithImagesNumber 8.5-1 AllCat2GroupsWithImagesUpToIsomorphism 8.5-1 AllCat3Groups 9.2-1 AllCat3GroupsNumber 9.2-1 AllCat3GroupsUpToIsomorphism 9.2-1 AllCat3GroupTriples 9.2-1 AllDerivations 5.2-1 AllInducedXMods 7.2-2 AllLoopsXMod 11.1-1 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 AutomorphismPermGroup 6.1-1 Back3DimensionalGroup 9.1-2 Boundary, for cat1-groups 2.4-2 Cat1Group 2.4-1 Cat1GroupByPeifferQuotient 2.4-5 Cat1GroupMorphism 3.3-1 Cat1GroupMorphismByHoms 3.3-1 Cat1GroupOfXMod 2.5-2 Cat1Select 2.7-1 Cat2Group 8.4-1 Cat2GroupMorphism 8.4-3 Cat2GroupMorphismByCat1GroupMorphisms 8.4-3 Cat2GroupMorphismByGroupHomomorphisms 8.4-3 Cat2GroupOfCrossedSquare 8.4-4 Cat3Group 9.1-1 CatnGroupLists 2.6-3 CatnGroupNumbers 2.6-3 Centralizer 4.1-7 CentralQuotient 4.1-8 CentreXMod 4.1-7 CommutatorSubXMod 4.1-4 CompositionMorphism 3.4-1 CoproductInfo 7.1-1 CoproductXMod 7.1-1 CrossActionSubgroup 4.1-4 CrossedPairing 8.2-14 CrossedPairingByCommutators 8.2-2 CrossedPairingByConjugators 8.2-5 CrossedPairingByDerivations 8.2-4 CrossedPairingByPreImages 8.2-7 CrossedPairingBySingleXModAction 8.2-3 CrossedPairingMap 8.2-14 CrossedSquare 8.2-8 CrossedSquareByAutomorphismGroup 8.2-5 CrossedSquareByNormalSubgroups 8.2-2 CrossedSquareByNormalSubXMod 8.2-3 CrossedSquareByPullback 8.2-6 CrossedSquareByXMods 8.2-1 CrossedSquareByXModSplitting 8.2-7 CrossedSquareMorphism 8.3-1 CrossedSquareMorphismByGroupHomomorphisms 8.3-1 CrossedSquareMorphismByXModMorphisms 8.3-1 CrossedSquareOfCat2Group 8.4-4 DerivationByImages 5.1-1 DerivationBySection 5.1-3 DerivationClass 5.2-1 DerivedSubXMod 4.1-5 Diagonal2DimensionalGroup 8.2-12 DiagonalAction 8.2-12 DiagonalCat1Group 2.4-3 DirectProductOp, for crossed modules 2.1-8 Displacement 4.1-3 DisplacementGroup 4.1-3 DisplacementSubgroup 4.1-3 Down2DimensionalGroup 8.2-12 Down2DimensionalMorphism 8.3-2 Down3DimensionalGroup 9.1-2 EndomorphismPreCat1Group 2.5-1 ExternalSetXMod 2.1-11 FactorPreXMod 4.1-1 FixedPointSubgroupXMod 4.1-6 Front3DimensionalGroup 9.1-2 GeneratingAutomorphisms 6.1-1 GroupGroupoid 2.9-1 GroupGroupoidElement 2.9-2 HeadMap 2.4-2 IdentityDerivation 5.1-4 IdentityMapping, for pre-xmods 3.2-3 IdentitySection 5.1-4 IdGroup, for 2d-groups 2.8-1 ImageElmCrossedPairing 8.2-14 ImageElmXModAction 2.1-10 ImagesList 5.2-2 ImagesTable 5.2-1 InclusionMappingGroups 12.1-1 InclusionMorphism2DimensionalDomains, for cat1-groups 3.3-1 InclusionMorphismHigherDimensionalDomains 8.3-4 InducedCat1Group 7.3-1 InducedCat1GroupByFreeProduct 7.3-1 InducedXMod 7.2-1 InducedXModByCopower 7.2-1 InducedXModBySurjection 7.2-1 InfoXMod 1. InitCatnGroupRecords 2.6-3 InnerActorXMod 6.1-3 InnerAutomorphismCat1 3.3-1 InnerAutomorphismsByNormalSubgroup 12.1-2 InnerAutomorphismXMod 3.2-3 InnerMorphism 6.1-3 IntersectionSubXMods 4.1-2 Is3dObject 8.2-11 IsAbelian2DimensionalGroup 4.1-9 IsAbelian3DimensionalGroup 8.2-13 IsAbelianModule 12.2-1 IsAspherical2DimensionalGroup 4.1-9 IsAutomorphism3dObject 8.3-3 IsAutomorphismGroup3DimensionalGroup 8.2-13 IsBijective 8.3-3 IsCat1Group 2.5-1 IsCat1GroupMorphism 3.3-1 IsCat2Group 8.4-1 IsCat3Group 9.1-1 IsCentralExtension3DimensionalGroup 8.2-13 IsCrossedSquare 8.2-11 IsCrossedSquareMorphism 8.3-3 IsDerivation 5.1-1 IsDirectProductWithCompleteDigraphDomain 10.1-2 IsEndo2DimensionalMapping 3.2-2 IsEndomorphism3dObject 8.3-3 IsFaithful2DimensionalGroup 4.1-9 IsFp2DimensionalGroup 2.2-1 IsFp3dObject 8.2-11 IsFpPreXModWithObjects 10.1-3 IsGroupOfAutomorphisms 12.1-2 IsIdentityCat1Group 2.5-1 IsInducedXMod 7.2-1 IsInjective, for pre-xmod morphisms 3.2-2 IsNilpotent2DimensionalGroup 4.1-10 IsNormalSub3DimensionalGroup 8.2-13 IsoclinicMiddleLength, for crossed modules of groups 4.3-3 IsoclinicRank, for crossed modules of groups 4.3-3 IsoclinicStemDomain, for crossed modules of groups 4.3-2 Isoclinism, for crossed modules 4.3-1 IsomorphismByIsomorphisms 3.2-4 IsomorphismFp2DimensionalGroup, for pre-cat1 morphisms 3.3-2 IsomorphismPc2DimensionalGroup, for pre-cat1 morphisms 3.3-2 IsomorphismPerm2DimensionalGroup, for pre-cat1 morphisms 3.3-2 IsomorphismPermObject 3.3-2 IsomorphismXMods 4.1-12 IsPc2DimensionalGroup 2.2-1 IsPc3dObject 8.2-11 IsPcPreXModWithObjects 10.1-3 IsPerm2DimensionalGroup 2.2-1 IsPerm3dObject 8.2-11 IsPermPreXModWithObjects 10.1-3 IsPreCat1GroupByEndomorphisms 2.5-1 IsPreCat1GroupMorphism 3.3-1 IsPreCrossedSquare 8.2-11 IsPreCrossedSquareMorphism 8.3-3 IsPreXCat1Group 2.5-1 IsPreXMod 2.2-1 IsPreXModMorphism 3.2-1 IsPreXModWithObjects 10.1-2 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 IsSurjective, for pre-xmod morphisms 3.2-2 IsSymmetric3DimensionalGroup 8.2-13 IsTotal, for pre-xmod morphisms 3.2-2 IsTrivialAction3DimensionalGroup 8.2-13 IsUp2DimensionalMapping 5.1-1 IsXMod 2.2-1 IsXModMorphism 3.2-1 IsXModWithObjects 10.1-2 Kernel, for 2d-mappings 3.4-2 Kernel2DimensionalMapping 3.4-2 KernelCokernelXMod 2.2-3 KernelEmbedding 2.4-2 Left2DimensionalGroup 8.2-12 Left2DimensionalMorphism 8.3-2 Left3DimensionalGroup 9.1-2 LoopsXMod 11.1-1 LowerCentralSeriesOfXMod 4.1-10 LueXMod 6.1-2 Mapping2ArgumentsByFunction 8.2-14 MappingToOne 12.1-1 MorphismOfInducedXMod 7.2-1 MorphismOfPullback, for a crossed module by pullback 3.2-5 Name 8.2-12 NaturalMorphismByNormalSubPreXMod 4.1-1 NilpotencyClass2DimensionalGroup 4.1-10 Normalizer 4.1-7 NormalSubXMods 2.2-2 NorrieXMod 6.1-2 PeifferSubgroup 2.3-2 PermAutomorphismAsXModMorphism 6.1-1 PreCat1Group 2.4-1 PreCat1GroupByEndomorphisms 2.4-1 PreCat1GroupByTailHeadEmbedding 2.4-1 PreCat1GroupMorphism 3.3-1 PreCat1GroupMorphismByHoms 3.3-1 PreCat1GroupOfPreXMod 2.5-2 PreCat2Group 8.4-1 PreCat2GroupByPreCat1Groups 8.4-1 PreCat2GroupMorphismByGroupHomomorphisms 8.4-3 PreCat2GroupMorphismByPreCat1GroupMorphisms 8.4-3 PreCat3Group 9.1-1 PreCat3GroupByPreCat2Groups 9.1-1 PreCrossedSquareByPreXMods 8.2-1 PreCrossedSquareMorphismByGroupHomomorphisms 8.3-1 PreCrossedSquareMorphismByPreXModMorphisms 8.3-1 PreXModByBoundaryAndAction 2.3-1 PreXModMorphism 3.2-3 PreXModMorphismByGroupHomomorphisms 3.2-3 PreXModOfPreCat1Group 2.5-2 PrincipalDerivation 5.1-2 PrincipalDerivations 5.2-3 Range 8.3-2 RangeEmbedding 2.4-2 RangeHom 3.1-1 RegularDerivations 5.2-2 RegularSections 5.2-4 ReverseCat1Group 2.4-4 Right2DimensionalGroup 8.2-12 Right2DimensionalMorphism 8.3-2 Right3DimensionalGroup 9.1-2 Root2dGroup 10.1-4 SectionByDerivation 5.1-3 SectionByHomomorphism 5.1-3 SinglePiecePreXModWithObjects 10.1-1 Size, for cat1-groups 2.4-2 SmallerDegreePerm2DimensionalDomain, for pre-cat1 morphisms 3.3-2 Source 8.3-2 SourceHom 3.1-1 StabilizerSubgroupXMod 4.1-6 StructureDescription, for 2d-groups 2.8-1 SubPreXMod 2.3-1 SubXMod 2.2-2 TailMap 2.4-2 Transpose3DimensionalGroup, for cat2-groups 8.4-2 TrivialSubXMod 2.2-2 Up2DimensionalGroup 8.2-12 Up2DimensionalMorphism 8.3-2 Up3DimensionalGroup 9.1-2 UpGeneratorImages 5.1-1 UpImagePositions 5.1-1 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 10.1-4 XModByAbelianModule 2.1-7 XModByAutomorphismGroup 2.1-4 XModByBoundaryAndAction 2.1-1 XModByCentralExtension 2.1-5 XModByGroupOfAutomorphisms 2.1-4 XModByInnerAutomorphismGroup 2.1-4 XModByNormalSubgroup 2.1-2 XModByPeifferQuotient 2.3-2 XModByPullback 2.1-6 XModByTrivialAction 2.1-3 XModCentre 6.1-3 XModMorphism 3.2-3 XModMorphismByGroupHomomorphisms 3.2-3 XModOfCat1Group 2.5-2
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