  
  
  [1XIndex[101X
  
  2d-domain 2. 
  2d-group 2. 
  2d-mapping 3. 
  2dimensional-domain with objects 10.1 
  3d-domain 8. 
  3d-group 8. 
  3d-mapping 8.3 
  4d-domain 9. 
  4d-group 9. 
  abelian module 12.2 
  [2XAbelianModuleAction[102X 12.2-1 
  [2XAbelianModuleGroup[102X 12.2-1 
  [2XAbelianModuleObject[102X 12.2-1 
  actor 6.1 
  [2XActorCrossedSquare[102X 8.2-4 
  [2XActorXMod[102X 6.1-2 
  [2XAllCat1DataGroupsBasic[102X 2.7-2 
  [2XAllCat1Groups[102X 2.6-2 
  [2XAllCat1GroupsIterator[102X 2.6-2 
  [2XAllCat1GroupsNumber[102X 2.6-2 
  [2XAllCat1GroupsUpToIsomorphism[102X 2.6-2 
  [2XAllCat1GroupsWithImage[102X 2.6-1 
  [2XAllCat1GroupsWithImageIterator[102X 2.6-1 
  [2XAllCat1GroupsWithImageNumber[102X 2.6-1 
  [2XAllCat1GroupsWithImageUpToIsomorphism[102X 2.6-1 
  [2XAllCat2GroupFamilies[102X 8.5-2 
  [2XAllCat2Groups[102X 8.5-2 
  [2XAllCat2GroupsIterator[102X 8.5-2 
  [2XAllCat2GroupsNumber[102X 8.5-2 
  [2XAllCat2GroupsUpToIsomorphism[102X 8.5-2 
  [2XAllCat2GroupsWithImages[102X 8.5-1 
  [2XAllCat2GroupsWithImagesIterator[102X 8.5-1 
  [2XAllCat2GroupsWithImagesNumber[102X 8.5-1 
  [2XAllCat2GroupsWithImagesUpToIsomorphism[102X 8.5-1 
  [2XAllCat3Groups[102X 9.2-1 
  [2XAllCat3GroupsNumber[102X 9.2-1 
  [2XAllCat3GroupsUpToIsomorphism[102X 9.2-1 
  [2XAllCat3GroupTriples[102X 9.2-1 
  [2XAllDerivations[102X 5.2-1 
  [2XAllInducedXMods[102X 7.2-2 
  [2XAllLoopsXMod[102X 11.1-1 
  [2XAllSections[102X 5.2-4 
  [2XAllStemGroupFamilies[102X 4.2-2 
  [2XAllStemGroupIds[102X 4.2-2 
  [2XAllXMods[102X 4.1-11 
  [2XAllXModsUpToIsomorphism[102X 4.1-12 
  [2XAreIsoclinicDomains[102X, for crossed modules of groups 4.3-1 
      for groups 4.2-1 
  AutoGroup 2.1-9 
  [2XAutomorphismPermGroup[102X 6.1-1 
  [2XBack3DimensionalGroup[102X 9.1-2 
  [2XBoundary[102X, for cat1-groups 2.4-2 
      for crossed modules 2.1-9 
  [2XCat1Group[102X 2.4-1 
  [2XCat1GroupByPeifferQuotient[102X 2.4-5 
  [2XCat1GroupMorphism[102X 3.3-1 
  [2XCat1GroupMorphismByHoms[102X 3.3-1 
  [2XCat1GroupOfXMod[102X 2.5-2 
  [2XCat1Select[102X 2.7-1 
  [2XCat2Group[102X 8.4-1 
  [2XCat2GroupMorphism[102X 8.4-3 
  [2XCat2GroupMorphismByCat1GroupMorphisms[102X 8.4-3 
  [2XCat2GroupMorphismByGroupHomomorphisms[102X 8.4-3 
  [2XCat2GroupOfCrossedSquare[102X 8.4-4 
  [2XCat3Group[102X 9.1-1 
  cat[22X^1[122X-group 2.4 
  cat[22X^2[122X-group 8.4 
  cat[22X^3[122X-group 9. 
  cat[22X^n[122X-group 9.3 
  [2XCatnGroupLists[102X 2.6-3 
  [2XCatnGroupNumbers[102X 2.6-3 
  [2XCentralizer[102X 4.1-7 
  [2XCentralQuotient[102X 4.1-8 
      for crossed modules 8.2-10 
  [2XCentreXMod[102X 4.1-7 
  [2XCommutatorSubXMod[102X 4.1-4 
  [2XCompositionMorphism[102X 3.4-1 
  [2XCoproductInfo[102X 7.1-1 
  [2XCoproductXMod[102X 7.1-1 
  [2XCrossActionSubgroup[102X 4.1-4 
  crossed module 2.1 
  crossed module morphism 3.1 
  crossed module of groupoids 10. 
  crossed module over a groupoid 10.1 
  crossed pairing 8.1 
  crossed square 6.1-2  8.1 
  crossed square morphism 8.3 
  [2XCrossedPairing[102X 8.2-14 
  [2XCrossedPairingByCommutators[102X 8.2-2 
  [2XCrossedPairingByConjugators[102X 8.2-5 
  [2XCrossedPairingByDerivations[102X 8.2-4 
  [2XCrossedPairingByPreImages[102X 8.2-7 
  [2XCrossedPairingBySingleXModAction[102X 8.2-3 
  [2XCrossedPairingMap[102X 8.2-14 
  [2XCrossedSquare[102X 8.2-8 
  [2XCrossedSquareByAutomorphismGroup[102X 8.2-5 
  [2XCrossedSquareByNormalSubgroups[102X 8.2-2 
  [2XCrossedSquareByNormalSubXMod[102X 8.2-3 
  [2XCrossedSquareByPullback[102X 8.2-6 
  [2XCrossedSquareByXMods[102X 8.2-1 
  [2XCrossedSquareByXModSplitting[102X 8.2-7 
  [2XCrossedSquareMorphism[102X 8.3-1 
  [2XCrossedSquareMorphismByGroupHomomorphisms[102X 8.3-1 
  [2XCrossedSquareMorphismByXModMorphisms[102X 8.3-1 
  [2XCrossedSquareOfCat2Group[102X 8.4-4 
  derivation, of crossed module 5.1 
  [2XDerivationByImages[102X 5.1-1 
  [2XDerivationBySection[102X 5.1-3 
  [2XDerivationClass[102X 5.2-1 
  [2XDerivedSubXMod[102X 4.1-5 
  [2XDiagonal2DimensionalGroup[102X 8.2-12 
  [2XDiagonalAction[102X 8.2-12 
  [2XDiagonalCat1Group[102X 2.4-3 
  [2XDirectProductOp[102X, for crossed modules 2.1-8 
  [2XDisplacement[102X 4.1-3 
  [2XDisplacementGroup[102X 4.1-3 
  [2XDisplacementSubgroup[102X 4.1-3 
  display a 2d-group 2.1-11 
  display a 2d-mapping 3.2-3 
  [2XDown2DimensionalGroup[102X 8.2-12 
  [2XDown2DimensionalMorphism[102X 8.3-2 
  [2XDown3DimensionalGroup[102X 9.1-2 
  [2XEndomorphismPreCat1Group[102X 2.5-1 
  [2XExternalSetXMod[102X 2.1-11 
  [2XFactorPreXMod[102X 4.1-1 
  [2XFixedPointSubgroupXMod[102X 4.1-6 
  free loop space 11.1 
  [2XFront3DimensionalGroup[102X 9.1-2 
  [2XGeneratingAutomorphisms[102X 6.1-1 
  [2XGroupGroupoid[102X 2.9-1 
  [2XGroupGroupoidElement[102X 2.9-2 
  [2XHeadMap[102X 2.4-2 
  [2XIdentityDerivation[102X 5.1-4 
  [2XIdentityMapping[102X, for pre-xmods 3.2-3 
      for precat1-morphisms 3.3-1 
  [2XIdentitySection[102X 5.1-4 
  [2XIdGroup[102X, for 2d-groups 2.8-1 
      for crossed modules 2.1-11 
  [2XImageElmCrossedPairing[102X 8.2-14 
  [2XImageElmXModAction[102X 2.1-10 
  [2XImagesList[102X 5.2-2 
  [2XImagesTable[102X 5.2-1 
  inclusion mapping 12.1 
  [2XInclusionMappingGroups[102X 12.1-1 
  [2XInclusionMorphism2DimensionalDomains[102X, for cat1-groups 3.3-1 
      for crossed modules 3.2-3 
  [2XInclusionMorphismHigherDimensionalDomains[102X 8.3-4 
  induced cat1-groups 7.3 
  induced crossed module 7.2 
  [2XInducedCat1Group[102X 7.3-1 
  [2XInducedCat1GroupByFreeProduct[102X 7.3-1 
  [2XInducedXMod[102X 7.2-1 
  [2XInducedXModByCopower[102X 7.2-1 
  [2XInducedXModBySurjection[102X 7.2-1 
  [10XInfoXMod[110X 1. 
  [2XInitCatnGroupRecords[102X 2.6-3 
  [2XInnerActorXMod[102X 6.1-3 
  [2XInnerAutomorphismCat1[102X 3.3-1 
  [2XInnerAutomorphismsByNormalSubgroup[102X 12.1-2 
  [2XInnerAutomorphismXMod[102X 3.2-3 
  [2XInnerMorphism[102X 6.1-3 
  [2XIntersectionSubXMods[102X 4.1-2 
  Is2DimensionalDomain 2.2 
  Is2DimensionalGroup 2.2 
  Is2DimensionalGroupWithObjects 10.1-2 
  [2XIs3dObject[102X 8.2-11 
  [2XIsAbelian2DimensionalGroup[102X 4.1-9 
  [2XIsAbelian3DimensionalGroup[102X 8.2-13 
  [2XIsAbelianModule[102X 12.2-1 
  IsAbelianModule2DimensionalGroup 2.2 
  [2XIsAspherical2DimensionalGroup[102X 4.1-9 
  [2XIsAutomorphism3dObject[102X 8.3-3 
  IsAutomorphismGroup2DimensionalGroup 2.2 
  [2XIsAutomorphismGroup3DimensionalGroup[102X 8.2-13 
  [2XIsBijective[102X 8.3-3 
      for pre-xmod morphisms 3.2-2 
  [2XIsCat1Group[102X 2.5-1 
  [2XIsCat1GroupMorphism[102X 3.3-1 
  [2XIsCat2Group[102X 8.4-1 
  [2XIsCat3Group[102X 9.1-1 
  IsCentralExtension2DimensionalGroup 2.2 
  [2XIsCentralExtension3DimensionalGroup[102X 8.2-13 
  [2XIsCrossedSquare[102X 8.2-11 
  [2XIsCrossedSquareMorphism[102X 8.3-3 
  [2XIsDerivation[102X 5.1-1 
  [2XIsDirectProductWithCompleteDigraphDomain[102X 10.1-2 
  [2XIsEndo2DimensionalMapping[102X 3.2-2 
  [2XIsEndomorphism3dObject[102X 8.3-3 
  [2XIsFaithful2DimensionalGroup[102X 4.1-9 
  [2XIsFp2DimensionalGroup[102X 2.2-1 
  [2XIsFp3dObject[102X 8.2-11 
  [2XIsFpPreXModWithObjects[102X 10.1-3 
  [2XIsGroupOfAutomorphisms[102X 12.1-2 
  [2XIsIdentityCat1Group[102X 2.5-1 
  [2XIsInducedXMod[102X 7.2-1 
  [2XIsInjective[102X, for pre-xmod morphisms 3.2-2 
  IsMonoidOfUp2DimensionalMappingsObj 5.2 
  [2XIsNilpotent2DimensionalGroup[102X 4.1-10 
  IsNormal for crossed modules 2.2-1 
  [2XIsNormalSub3DimensionalGroup[102X 8.2-13 
  IsNormalSubgroup2DimensionalGroup 2.2 
  [2XIsoclinicMiddleLength[102X, for crossed modules of groups 4.3-3 
      for groups 4.2-3 
  [2XIsoclinicRank[102X, for crossed modules of groups 4.3-3 
      for groups 4.2-3 
  [2XIsoclinicStemDomain[102X, for crossed modules of groups 4.3-2 
      for groups 4.2-2 
  [2XIsoclinism[102X, for crossed modules 4.3-1 
      for groups 4.2-1 
  [2XIsomorphismByIsomorphisms[102X 3.2-4 
  [2XIsomorphismFp2DimensionalGroup[102X, for pre-cat1 morphisms 3.3-2 
  [2XIsomorphismPc2DimensionalGroup[102X, for pre-cat1 morphisms 3.3-2 
      for pre-xmod morphisms 3.2-4 
  [2XIsomorphismPerm2DimensionalGroup[102X, for pre-cat1 morphisms 3.3-2 
      for pre-xmod morphisms 3.2-4 
  [2XIsomorphismPermObject[102X 3.3-2 
  [2XIsomorphismXMods[102X 4.1-12 
  [2XIsPc2DimensionalGroup[102X 2.2-1 
  [2XIsPc3dObject[102X 8.2-11 
  [2XIsPcPreXModWithObjects[102X 10.1-3 
  [2XIsPerm2DimensionalGroup[102X 2.2-1 
  [2XIsPerm3dObject[102X 8.2-11 
  [2XIsPermPreXModWithObjects[102X 10.1-3 
  [2XIsPreCat1GroupByEndomorphisms[102X 2.5-1 
  [2XIsPreCat1GroupMorphism[102X 3.3-1 
  [2XIsPreCrossedSquare[102X 8.2-11 
  [2XIsPreCrossedSquareMorphism[102X 8.3-3 
  [2XIsPreXCat1Group[102X 2.5-1 
  [2XIsPreXMod[102X 2.2-1 
  [2XIsPreXModMorphism[102X 3.2-1 
  [2XIsPreXModWithObjects[102X 10.1-2 
  [2XIsSection[102X 5.1-3 
  [2XIsSimplyConnected2DimensionalGroup[102X 4.1-9 
  [2XIsSingleValued[102X, for pre-xmod morphisms 3.2-2 
  [2XIsStemDomain[102X, for crossed modules of groups 4.3-2 
      for groups 4.2-2 
  [2XIsSurjective[102X, for pre-xmod morphisms 3.2-2 
  [2XIsSymmetric3DimensionalGroup[102X 8.2-13 
  [2XIsTotal[102X, for pre-xmod morphisms 3.2-2 
  IsTrivialAction2DimensionalGroup 2.2 
  [2XIsTrivialAction3DimensionalGroup[102X 8.2-13 
  [2XIsUp2DimensionalMapping[102X 5.1-1 
  [2XIsXMod[102X 2.2-1 
  [2XIsXModMorphism[102X 3.2-1 
  [2XIsXModWithObjects[102X 10.1-2 
  [2XKernel[102X, for 2d-mappings 3.4-2 
  [2XKernel2DimensionalMapping[102X 3.4-2 
  [2XKernelCokernelXMod[102X 2.2-3 
  [2XKernelEmbedding[102X 2.4-2 
  [2XLeft2DimensionalGroup[102X 8.2-12 
  [2XLeft2DimensionalMorphism[102X 8.3-2 
  [2XLeft3DimensionalGroup[102X 9.1-2 
  loop space 11.1 
  [2XLoopsXMod[102X 11.1-1 
  [2XLowerCentralSeriesOfXMod[102X 4.1-10 
  [2XLueXMod[102X 6.1-2 
  [2XMapping2ArgumentsByFunction[102X 8.2-14 
  [2XMappingToOne[102X 12.1-1 
  morphism 3.2 
  morphism of 2d-group 3.1 
  morphism of 3d-group 8.3 
  [2XMorphismOfInducedXMod[102X 7.2-1 
  [2XMorphismOfPullback[102X, for a crossed module by pullback 3.2-5 
  [2XName[102X 8.2-12 
      for cat1-groups 2.4-2 
      for crossed modules 2.1-11 
  [2XNaturalMorphismByNormalSubPreXMod[102X 4.1-1 
  [2XNilpotencyClass2DimensionalGroup[102X 4.1-10 
  [2XNormalizer[102X 4.1-7 
  [2XNormalSubXMods[102X 2.2-2 
  [2XNorrieXMod[102X 6.1-2 
  ObjectList 10.1-4 
  operations on morphisms 3.4 
  order of a 2d-automorphism 3.2-3 
  Peiffer subgroup 2.3-1 
  [2XPeifferSubgroup[102X 2.3-2 
  [2XPermAutomorphismAsXModMorphism[102X 6.1-1 
  pre-crossed module 2.3 
  [2XPreCat1Group[102X 2.4-1 
  [2XPreCat1GroupByEndomorphisms[102X 2.4-1 
  [2XPreCat1GroupByTailHeadEmbedding[102X 2.4-1 
  [2XPreCat1GroupMorphism[102X 3.3-1 
  [2XPreCat1GroupMorphismByHoms[102X 3.3-1 
  [2XPreCat1GroupOfPreXMod[102X 2.5-2 
  [2XPreCat2Group[102X 8.4-1 
  [2XPreCat2GroupByPreCat1Groups[102X 8.4-1 
  [2XPreCat2GroupMorphismByGroupHomomorphisms[102X 8.4-3 
  [2XPreCat2GroupMorphismByPreCat1GroupMorphisms[102X 8.4-3 
  [2XPreCat3Group[102X 9.1-1 
  [2XPreCat3GroupByPreCat2Groups[102X 9.1-1 
  [2XPreCrossedSquareByPreXMods[102X 8.2-1 
  [2XPreCrossedSquareMorphismByGroupHomomorphisms[102X 8.3-1 
  [2XPreCrossedSquareMorphismByPreXModMorphisms[102X 8.3-1 
  [2XPreXModByBoundaryAndAction[102X 2.3-1 
  [2XPreXModMorphism[102X 3.2-3 
  [2XPreXModMorphismByGroupHomomorphisms[102X 3.2-3 
  [2XPreXModOfPreCat1Group[102X 2.5-2 
  [2XPrincipalDerivation[102X 5.1-2 
  [2XPrincipalDerivations[102X 5.2-3 
  [2XRange[102X 8.3-2 
      for 2d-group mappings 3.1-1 
      for cat1-groups 2.4-2 
      for crossed modules 2.1-9 
  [2XRangeEmbedding[102X 2.4-2 
  [2XRangeHom[102X 3.1-1 
  regular derivation 5.1 
  [2XRegularDerivations[102X 5.2-2 
  [2XRegularSections[102X 5.2-4 
  restriction mapping 12.1 
  [2XReverseCat1Group[102X 2.4-4 
  [2XRight2DimensionalGroup[102X 8.2-12 
  [2XRight2DimensionalMorphism[102X 8.3-2 
  [2XRight3DimensionalGroup[102X 9.1-2 
  [2XRoot2dGroup[102X 10.1-4 
  section, of cat1-group 5.1 
  [2XSectionByDerivation[102X 5.1-3 
  [2XSectionByHomomorphism[102X 5.1-3 
  selection of a small cat[22X^1[122X-group 2.7 
  [2XSinglePiecePreXModWithObjects[102X 10.1-1 
  [2XSize[102X, for cat1-groups 2.4-2 
      for crossed modules 2.1-11 
  [2XSmallerDegreePerm2DimensionalDomain[102X, for pre-cat1 morphisms 3.3-2 
  [2XSource[102X 8.3-2 
      for 2d-group mappings 3.1-1 
      for cat1-groups 2.4-2 
      for crossed modules 2.1-9 
  [2XSourceHom[102X 3.1-1 
  [2XStabilizerSubgroupXMod[102X 4.1-6 
  [2XStructureDescription[102X, for 2d-groups 2.8-1 
  [2XSubPreXMod[102X 2.3-1 
  [2XSubXMod[102X 2.2-2 
  [2XTailMap[102X 2.4-2 
  [2XTranspose3DimensionalGroup[102X, for cat2-groups 8.4-2 
      for crossed squares 8.2-9 
  [2XTrivialSubXMod[102X 2.2-2 
  up 2d-mapping of 2d-group 5. 
  [2XUp2DimensionalGroup[102X 8.2-12 
  [2XUp2DimensionalMorphism[102X 8.3-2 
  [2XUp3DimensionalGroup[102X 9.1-2 
  [2XUpGeneratorImages[102X 5.1-1 
  [2XUpImagePositions[102X 5.1-1 
  version 1 for [5XGAP[105X 3 13.1-1 
  version 2.001 for [5XGAP[105X 4 13.1-3 
  Whitehead group 5.1 
  Whitehead monoid 5.1 
  Whitehead multiplication 5.1 
  [2XWhiteheadGroupTable[102X 5.2-2 
  [2XWhiteheadMonoidTable[102X 5.2-1 
  [2XWhiteheadOrder[102X 5.1-5 
  [2XWhiteheadPermGroup[102X 5.2-2 
  [2XWhiteheadProduct[102X 5.1-5 
  [2XWhiteheadTransformationMonoid[102X 5.2-1 
  [2XWhiteheadXMod[102X 6.1-2 
  [2XXMod[102X 2.1-1 
  [2XXModAction[102X, for crossed modules of groupoids 10.1-4 
      for crossed modules of groups 2.1-9 
  [2XXModByAbelianModule[102X 2.1-7 
  [2XXModByAutomorphismGroup[102X 2.1-4 
  [2XXModByBoundaryAndAction[102X 2.1-1 
  [2XXModByCentralExtension[102X 2.1-5 
  [2XXModByGroupOfAutomorphisms[102X 2.1-4 
  [2XXModByInnerAutomorphismGroup[102X 2.1-4 
  [2XXModByNormalSubgroup[102X 2.1-2 
  [2XXModByPeifferQuotient[102X 2.3-2 
  [2XXModByPullback[102X 2.1-6 
  [2XXModByTrivialAction[102X 2.1-3 
  [2XXModCentre[102X 6.1-3 
  [2XXModMorphism[102X 3.2-3 
  [2XXModMorphismByGroupHomomorphisms[102X 3.2-3 
  [2XXModOfCat1Group[102X 2.5-2 
  
  
  -------------------------------------------------------
