[1XIndex[0X 2d-mapping 3. 2d-object 2.1 3d-mapping 7.2 3d-object 7. abelian module 8.3 [2XAbelianModuleAction[0X 8.3-1 [2XAbelianModuleGroup[0X 8.3-1 [2XAbelianModuleObject[0X 8.3-1 actor 5.1 [2XActorXMod[0X 5.1-1 [2XActorXSq[0X 7.1-1 [2XAllDerivations[0X 4.2-1 [2XAllInducedXMods[0X 6.1-2 [2XAllSections[0X 4.2-1 [2XAutoGroup[0X 2.1-2 [2XAutoGroup[0X 8.2-1 [2XAutomorphismPermGroup[0X 5.1-1 [2XBoundary[0X 2.1-2 [2XBoundary[0X 2.3-1 [2XCat1[0X 2.3-2 cat1-group 2.3 [2XCat1ByPeifferQuotient[0X 2.3-2 [2XCat1Morphism[0X 3.3-1 [2XCat1MorphismByHoms[0X 3.3-1 [2XCat1OfXMod[0X 2.3-3 [2XCat1Select[0X 2.4-1 cat2-group 7. [2XCentre[0X 5.1-2 [2XCommonRepresentatives[0X 8.4-1 [2XCommonTransversal[0X 8.4-1 [2XCompositeDerivation[0X 4.2-2 [2XCompositeSection[0X 4.2-2 [2XCompositionMorphism[0X 3.4-1 crossed module 2.1 crossed module 7. crossed module morphism 3.1 crossed pairing 7. crossed square 5.1-1 crossed square morphism 7.2 derivation, of crossed module 4.1-1 [2XDerivationByImages[0X 4.1-2 [2XDerivationBySection[0X 4.1-3 [2XDiagonalAction[0X 7.1-3 [2XDirectProduct[0X 2.1-1 display a 2d-mapping 3.2-3 display a 2d-object 2.1-3 distinct and common representatives 8.4 [2XDistinctRepresentatives[0X 8.4-1 [2XDown2dMorphism[0X 7.2-1 [2XDown2dObject[0X 7.1-3 [2XEndoClassConjugators[0X 8.2-1 [2XEndoClassIsomorphism[0X 8.2-1 [2XEndoClassNaturalHom[0X 8.2-1 endomorphism classes 8.2 [2XEndomorphismClasses[0X 8.2-1 [2XGeneratorImages[0X 4.1-2 [2XHeadMap[0X 2.3-1 [2XIdentityMapping[0X 3.2-3 [2XIdentityMapping[0X 3.3-1 [2XIdentitySubXMod[0X 2.1-4 [2XImageElmXPair[0X 7.1-3 [2XImagePositions[0X 4.2-2 [2XImagesList[0X 4.2-1 [2XImagesTable[0X 4.2-1 inclusion mapping 8.1 [2XInclusionMappingGroups[0X 8.1-1 [2XInclusionMorphism2dObjects[0X 3.2-3 [2XInclusionMorphism2dObjects[0X 3.3-1 induced crossed module 6.1 [2XInducedCat1[0X 6.1-1 [2XInducedXMod[0X 6.1-1 [10XInfoXMod[0m 1. [2XInnerActor[0X 5.1-2 [2XInnerAutomorphismByNormalSubgroup[0X 8.2-2 [2XInnerAutomorphismCat1[0X 3.3-1 [2XInnerAutomorphismXMod[0X 3.2-3 [2XInnerMorphism[0X 5.1-2 [2XIs3dObject[0X 7.1-2 [2XIsAbelianModule[0X 8.3-1 [2XIsAutomorphism2dObject[0X 3.2-2 [2XIsAutomorphism3dObject[0X 7.2-2 [2XIsBijective[0X 3.2-2 [2XIsBijective[0X 7.2-2 [2XIsCat1Morphism[0X 3.2-1 [2XIsCommonTransversal[0X 8.4-1 [2XIsDerivation[0X 4.1-1 [2XIsEndomorphism2dObject[0X 3.2-2 [2XIsFp3dObject[0X 7.1-2 [2XIsGroupOfAutomorphisms[0X 8.2-2 [2XIsInducedCat1[0X 6.1-1 [2XIsInducedXMod[0X 6.1-1 [2XIsInjective[0X 3.2-2 [2XIsmorphismPermObject[0X 3.3-1 [2XIsomorphismPermObject[0X 3.2-3 [2XIsPc3dObject[0X 7.1-2 [2XIsPcPreXMod[0X 2.2-3 [2XIsPerm3dObject[0X 7.1-2 [2XIsPermXMod[0X 2.2-3 [2XIsPreCat1Morphism[0X 3.2-1 [2XIsPreXModMorphism[0X 3.2-1 [2XIsPreXSq[0X 7.1-2 [2XIsPreXSqMorphism[0X 7.2-2 [2XIsSection[0X 4.1-1 [2XIsSingleValued[0X 3.2-2 [2XIsSurjective[0X 3.2-2 [2XIsTotal[0X 3.2-2 [2XIsUp2dMapping[0X 4.1-1 [2XIsXModMorphism[0X 3.2-1 [2XIsXSq[0X 7.1-2 [2XIsXSqMorphism[0X 7.2-2 [2XKernel[0X 3.4-2 [2XKernel2dMapping[0X 3.4-2 [2XKernelEmbedding[0X 2.3-1 [2XLeft2dMorphism[0X 7.2-1 [2XLeft2dObject[0X 7.1-3 [2XLueXMod[0X 5.1-1 [2XMappingToOne[0X 8.1-1 morphism 3.2 morphism of 2d-object 3.1 morphism of 3d-object 7.2 [2XMorphismOfInducedXMod[0X 6.1-1 [2XName[0X 2.1-3 [2XName[0X 2.3-1 [2XName[0X 7.1-1 [2XNormalSubXMods[0X 2.1-4 [2XNorrieXMod[0X 5.1-1 [2XObject2d[0X 4.1-2 operations on morphisms 3.4 [2XOrder[0X 3.4-1 Peiffer subgroup 2.2-1 [2XPeifferSubgroup[0X 2.2-2 pre-crossed module 2.2 [2XPreCat1ByEndomorphisms[0X 2.3-2 [2XPreCat1ByNormalSubgroup[0X 2.3-2 [2XPreCat1ByTailHeadEmbedding[0X 2.3-2 [2XPreCat1Morphism[0X 3.3-1 [2XPreCat1MorphismByHoms[0X 3.3-1 [2XPreCat1OfPreXMod[0X 2.3-3 [2XPreXModByBoundaryAndAction[0X 2.2-1 [2XPreXModMorphism[0X 3.2-3 [2XPreXModMorphismByHoms[0X 3.2-3 [2XPreXModOfPreCat1[0X 2.3-3 [2XRange[0X 2.1-2 [2XRange[0X 2.3-1 [2XRange[0X 3.1-1 [2XRange[0X 7.2-1 [2XRangeEmbedding[0X 2.3-1 [2XRangeHom[0X 3.1-1 regular derivation 4.1-1 [2XRegularDerivations[0X 4.2-1 [2XRegularSections[0X 4.2-1 restriction mapping 8.1 [2XRestrictionMappingGroups[0X 8.1-1 [2XReverse[0X 2.3-2 [2XRight2dMorphism[0X 7.2-1 [2XRight2dObject[0X 7.1-3 section, of cat1-group 4.1-1 [2XSectionByDerivation[0X 4.1-3 [2XSectionByImages[0X 4.1-3 selection of a small cat1-group 2.4 [2XSize[0X 2.1-3 [2XSize[0X 2.3-1 [2XSmallerDegreePerm2dObject[0X 3.3-1 [2XSource[0X 2.1-2 [2XSource[0X 2.3-1 [2XSource[0X 3.1-1 [2XSource[0X 7.2-1 [2XSourceHom[0X 3.1-1 [2XSubPreXMod[0X 2.2-1 [2XSubXMod[0X 2.1-4 [2XTailMap[0X 2.3-1 [2XTranspose3dObject[0X 7.1-1 up 2d-mapping of 2d-object 4. [2XUp2dMorphism[0X 7.2-1 [2XUp2dObject[0X 7.1-3 version 1 for [5XGAP[0m 3 9.1-1 version 2.001 for [5XGAP[0m 4 9.1-3 Whitehead group 4.1-1 Whitehead monoid 4.1-1 Whitehead multiplication 4.1 Whitehead multiplication 4.1-1 [2XWhiteheadGroupTable[0X 4.2-3 [2XWhiteheadMonoidTable[0X 4.2-3 [2XWhiteheadPermGroup[0X 4.2-3 [2XWhiteheadTransMonoid[0X 4.2-3 [2XWhiteheadXMod[0X 5.1-1 [2XXMod[0X 2.1-1 [2XXModAction[0X 2.1-2 [2XXModByAbelianModule[0X 2.1-1 [2XXModByAutomorphismGroup[0X 2.1-1 [2XXModByBoundaryAndAction[0X 2.1-1 [2XXModByCentralExtension[0X 2.1-1 [2XXModByGroupOfAutomorphisms[0X 2.1-1 [2XXModByInnerAutomorphismGroup[0X 2.1-1 [2XXModByNormalSubgroup[0X 2.1-1 [2XXModByPeifferQuotient[0X 2.2-2 [2XXModByTrivialAction[0X 2.1-1 [2XXModMorphism[0X 3.2-3 [2XXModMorphismByHoms[0X 3.2-3 [2XXModOfCat1[0X 2.3-3 [2XXPair[0X 7.1-3 [2XXSq[0X 7.1-1 [2XXSqByNormalSubgroups[0X 7.1-1 -------------------------------------------------------