Sophie

Sophie

distrib > Mandriva > 2010.0 > i586 > media > contrib-release > by-pkgid > 91213ddcfbe7f54821d42c2d9e091326 > files > 3137

gap-system-packages-4.4.12-5mdv2010.0.i586.rpm

#SIXFORMAT  GapDocGAP
HELPBOOKINFOSIXTMP := rec(
encoding := "UTF-8",
bookname := "XMod",
entries :=
[ [ "Title page", ".", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5" ], 
  [ "Abstract", ".-1", [ 0, 0, 1 ], 37, 2, "abstract", "X7AA6C5737B711C89" ], 
  [ "Copyright", ".-2", [ 0, 0, 2 ], 67, 2, "copyright", "X81488B807F2A1CF1" ], 
  [ "Acknowledgements", ".-3", [ 0, 0, 3 ], 72, 2, "acknowledgements", "X82A988D47DFAFCFA" ], 
  [ "Table of Contents", ".-4", [ 0, 0, 4 ], 102, 3, "table of contents", "X8537FEB07AF2BEC8" 
     ], [ "\033[1XIntroduction\033[0X", "1", [ 1, 0, 0 ], 1, 5, "introduction", 
      "X7DFB63A97E67C0A1" ], 
  [ "\033[1X2d-objects\033[0X", "2", [ 2, 0, 0 ], 1, 7, "2d-objects", "X8359CCB57F2C0807" ], 
  [ "\033[1XConstructions for crossed modules\033[0X", "2.1", [ 2, 1, 0 ], 4, 7, 
      "constructions for crossed modules", "X7BAD9A7F7AFEEC89" ], 
  [ "\033[1XPre-crossed modules\033[0X", "2.2", [ 2, 2, 0 ], 143, 9, "pre-crossed modules", 
      "X7D435B6279032D4D" ], 
  [ "\033[1XCat1-groups and pre-cat1-groups\033[0X", "2.3", [ 2, 3, 0 ], 217, 10, 
      "cat1-groups and pre-cat1-groups", "X7F868C2181018D0C" ], 
  [ "\033[1XSelection of a small cat1-group\033[0X", "2.4", [ 2, 4, 0 ], 355, 13, 
      "selection of a small cat1-group", "X7B38B960782937EB" ], 
  [ "\033[1X2d-mappings\033[0X", "3", [ 3, 0, 0 ], 1, 15, "2d-mappings", "X815144D67C1D1AE3" ]
    , [ "\033[1XMorphisms of 2d-objects\033[0X", "3.1", [ 3, 1, 0 ], 4, 15, 
      "morphisms of 2d-objects", "X81A31F338392CAD8" ], 
  [ "\033[1XMorphisms of pre-crossed modules\033[0X", "3.2", [ 3, 2, 0 ], 22, 15, 
      "morphisms of pre-crossed modules", "X78CADE4D7EB1EA44" ], 
  [ "\033[1XMorphisms of pre-cat1-groups\033[0X", "3.3", [ 3, 3, 0 ], 108, 17, 
      "morphisms of pre-cat1-groups", "X84DDF8247FC4982B" ], 
  [ "\033[1XOperations on morphisms\033[0X", "3.4", [ 3, 4, 0 ], 161, 18, 
      "operations on morphisms", "X7B09A28579707CAF" ], 
  [ "\033[1XDerivations and Sections\033[0X", "4", [ 4, 0, 0 ], 1, 20, 
      "derivations and sections", "X7C01AE7783898705" ], 
  [ "\033[1XWhitehead Multiplication\033[0X", "4.1", [ 4, 1, 0 ], 4, 20, 
      "whitehead multiplication", "X78790B7D87D9FD73" ], 
  [ "\033[1XWhitehead Groups and Monoids\033[0X", "4.2", [ 4, 2, 0 ], 135, 22, 
      "whitehead groups and monoids", "X83886F9484B44B03" ], 
  [ "\033[1XActors of 2d-objects\033[0X", "5", [ 5, 0, 0 ], 1, 25, "actors of 2d-objects", 
      "X815CE6AF7EF49FB5" ], [ "\033[1XActor of a crossed module\033[0X", "5.1", [ 5, 1, 0 ], 
      4, 25, "actor of a crossed module", "X7B853602873FC7AB" ], 
  [ "\033[1XInduced Constructions\033[0X", "6", [ 6, 0, 0 ], 1, 28, "induced constructions", 
      "X8339DF98872D2E1C" ], 
  [ "\033[1XInduced crossed modules\033[0X", "6.1", [ 6, 1, 0 ], 4, 28, 
      "induced crossed modules", "X7966FF497C36C465" ], 
  [ "\033[1XCrossed squares and their morphisms\033[0X", "7", [ 7, 0, 0 ], 1, 31, 
      "crossed squares and their morphisms", "X8016C9727A692E1A" ], 
  [ "\033[1XConstructions for crossed squares\033[0X", "7.1", [ 7, 1, 0 ], 79, 32, 
      "constructions for crossed squares", "X820A7D30847BC828" ], 
  [ "\033[1XMorphisms of crossed squares\033[0X", "7.2", [ 7, 2, 0 ], 237, 34, 
      "morphisms of crossed squares", "X78A79A7E85128C7B" ], 
  [ "\033[1XUtility functions\033[0X", "8", [ 8, 0, 0 ], 1, 36, "utility functions", 
      "X810FFB1C8035C8BE" ], 
  [ "\033[1XInclusion and Restriction Mappings\033[0X", "8.1", [ 8, 1, 0 ], 12, 36, 
      "inclusion and restriction mappings", "X844AFC3A7DD6E190" ], 
  [ "\033[1XEndomorphism Classes and Automorphisms\033[0X", "8.2", [ 8, 2, 0 ], 43, 37, 
      "endomorphism classes and automorphisms", "X865059CB78FDD5F9" ], 
  [ "\033[1XAbelian Modules\033[0X", "8.3", [ 8, 3, 0 ], 135, 38, "abelian modules", 
      "X852BD9CA84C2AFF0" ], 
  [ "\033[1XDistinct and Common Representatives\033[0X", "8.4", [ 8, 4, 0 ], 167, 39, 
      "distinct and common representatives", "X82F443FF84B8FCE3" ], 
  [ "\033[1XDevelopment history\033[0X", "9", [ 9, 0, 0 ], 1, 40, "development history", 
      "X810C43BC7F63C4B4" ], 
  [ "\033[1XChanges from version to version\033[0X", "9.1", [ 9, 1, 0 ], 17, 40, 
      "changes from version to version", "X7ACE7E8384B73156" ], 
  [ "\033[1XVersion 1 for \033[5XGAP\033[1X 3\033[0X", "9.1-1", [ 9, 1, 1 ], 20, 40, 
      "version 1 for gap 3", "X848198AA862249C4" ], 
  [ "\033[1XVersion 2\033[0X", "9.1-2", [ 9, 1, 2 ], 26, 40, "version 2", "X7CF8E72D80AAB54F" 
     ], [ "\033[1XVersion 2.001 for \033[5XGAP\033[1X 4\033[0X", "9.1-3", [ 9, 1, 3 ], 38, 
      40, "version 2.001 for gap 4", "X7F9CE0487BB6F660" ], 
  [ "\033[1XInduced crossed modules\033[0X", "9.1-4", [ 9, 1, 4 ], 46, 41, 
      "induced crossed modules", "X7966FF497C36C465" ], 
  [ "\033[1XVersions 2.002 -- 2.006\033[0X", "9.1-5", [ 9, 1, 5 ], 54, 41, 
      "versions 2.002 -- 2.006", "X7E0B70FD82DC5BA8" ], 
  [ "\033[1XVersions 2.007 -- 2.010\033[0X", "9.1-6", [ 9, 1, 6 ], 73, 41, 
      "versions 2.007 -- 2.010", "X7F6E650E85384C25" ], 
  [ "\033[1XVersion 2.12\033[0X", "9.1-7", [ 9, 1, 7 ], 98, 41, "version 2.12", 
      "X7A71BD747D1AA4A5" ], 
  [ "\033[1XWhat needs doing next?\033[0X", "9.2", [ 9, 2, 0 ], 116, 42, 
      "what needs doing next?", "X83D1530487593182" ], 
  [ "Bibliography", "bib", [ "Bib", 0, 0 ], 1, 43, "bibliography", "X7A6F98FD85F02BFE" ], 
  [ "References", "bib", [ "Bib", 0, 0 ], 1, 43, "references", "X7A6F98FD85F02BFE" ], 
  [ "Index", "ind", [ "Ind", 0, 0 ], 1, 45, "index", "X83A0356F839C696F" ], 
  [ "\033[10XInfoXMod\033[0m", "1.", [ 1, 0, 0 ], 1, 5, "infoxmod", "X7DFB63A97E67C0A1" ], 
  [ "crossed module", "2.1", [ 2, 1, 0 ], 4, 7, "crossed module", "X7BAD9A7F7AFEEC89" ], 
  [ "2d-object", "2.1", [ 2, 1, 0 ], 4, 7, "2d-object", "X7BAD9A7F7AFEEC89" ], 
  [ "\033[2XXMod\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, "xmod", "X7C8175AE7F76B586" ], 
  [ "\033[2XXModByBoundaryAndAction\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, 
      "xmodbyboundaryandaction", "X7C8175AE7F76B586" ], 
  [ "\033[2XXModByTrivialAction\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, "xmodbytrivialaction", 
      "X7C8175AE7F76B586" ], 
  [ "\033[2XXModByNormalSubgroup\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, "xmodbynormalsubgroup",
      "X7C8175AE7F76B586" ], [ "\033[2XXModByCentralExtension\033[0X", "2.1-1", [ 2, 1, 1 ], 
      22, 7, "xmodbycentralextension", "X7C8175AE7F76B586" ], 
  [ "\033[2XXModByAutomorphismGroup\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, 
      "xmodbyautomorphismgroup", "X7C8175AE7F76B586" ], 
  [ "\033[2XXModByInnerAutomorphismGroup\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, 
      "xmodbyinnerautomorphismgroup", "X7C8175AE7F76B586" ], 
  [ "\033[2XXModByGroupOfAutomorphisms\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, 
      "xmodbygroupofautomorphisms", "X7C8175AE7F76B586" ], 
  [ "\033[2XXModByAbelianModule\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, "xmodbyabelianmodule", 
      "X7C8175AE7F76B586" ], 
  [ "\033[2XDirectProduct\033[0X", "2.1-1", [ 2, 1, 1 ], 22, 7, "directproduct", 
      "X7C8175AE7F76B586" ], [ "\033[2XSource\033[0X", "2.1-2", [ 2, 1, 2 ], 60, 8, "source", 
      "X7DE8173F80E07AB1" ], 
  [ "\033[2XRange\033[0X", "2.1-2", [ 2, 1, 2 ], 60, 8, "range", "X7DE8173F80E07AB1" ], 
  [ "\033[2XBoundary\033[0X", "2.1-2", [ 2, 1, 2 ], 60, 8, "boundary", "X7DE8173F80E07AB1" ], 
  [ "\033[2XAutoGroup\033[0X", "2.1-2", [ 2, 1, 2 ], 60, 8, "autogroup", "X7DE8173F80E07AB1" ]
    , [ "\033[2XXModAction\033[0X", "2.1-2", [ 2, 1, 2 ], 60, 8, "xmodaction", 
      "X7DE8173F80E07AB1" ], 
  [ "\033[2XSize\033[0X", "2.1-3", [ 2, 1, 3 ], 78, 8, "size", "X858ADA3B7A684421" ], 
  [ "\033[2XName\033[0X", "2.1-3", [ 2, 1, 3 ], 78, 8, "name", "X858ADA3B7A684421" ], 
  [ "display a 2d-object", "2.1-3", [ 2, 1, 3 ], 78, 8, "display a 2d-object", 
      "X858ADA3B7A684421" ], 
  [ "\033[2XSubXMod\033[0X", "2.1-4", [ 2, 1, 4 ], 120, 9, "subxmod", "X7884284383284A87" ], 
  [ "\033[2XIdentitySubXMod\033[0X", "2.1-4", [ 2, 1, 4 ], 120, 9, "identitysubxmod", 
      "X7884284383284A87" ], [ "\033[2XNormalSubXMods\033[0X", "2.1-4", [ 2, 1, 4 ], 120, 9, 
      "normalsubxmods", "X7884284383284A87" ], 
  [ "pre-crossed module", "2.2", [ 2, 2, 0 ], 143, 9, "pre-crossed module", 
      "X7D435B6279032D4D" ], 
  [ "\033[2XPreXModByBoundaryAndAction\033[0X", "2.2-1", [ 2, 2, 1 ], 146, 9, 
      "prexmodbyboundaryandaction", "X8487BE427858C5C9" ], 
  [ "\033[2XSubPreXMod\033[0X", "2.2-1", [ 2, 2, 1 ], 146, 9, "subprexmod", 
      "X8487BE427858C5C9" ], 
  [ "Peiffer subgroup", "2.2-1", [ 2, 2, 1 ], 146, 9, "peiffer subgroup", "X8487BE427858C5C9" 
     ], [ "\033[2XPeifferSubgroup\033[0X", "2.2-2", [ 2, 2, 2 ], 170, 10, "peiffersubgroup", 
      "X8527F4C07A8F359E" ], 
  [ "\033[2XXModByPeifferQuotient\033[0X", "2.2-2", [ 2, 2, 2 ], 170, 10, 
      "xmodbypeifferquotient", "X8527F4C07A8F359E" ], 
  [ "\033[2XIsPermXMod\033[0X", "2.2-3", [ 2, 2, 3 ], 209, 10, "ispermxmod", 
      "X7E564129785A2DF2" ], 
  [ "\033[2XIsPcPreXMod\033[0X", "2.2-3", [ 2, 2, 3 ], 209, 10, "ispcprexmod", 
      "X7E564129785A2DF2" ], 
  [ "cat1-group", "2.3", [ 2, 3, 0 ], 217, 10, "cat1-group", "X7F868C2181018D0C" ], 
  [ "\033[2XSource\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "source", "X7DE8173F80E07AB1" ], 
  [ "\033[2XRange\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "range", "X7DE8173F80E07AB1" ], 
  [ "\033[2XTailMap\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "tailmap", "X7DE8173F80E07AB1" ], 
  [ "\033[2XHeadMap\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "headmap", "X7DE8173F80E07AB1" ], 
  [ "\033[2XRangeEmbedding\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "rangeembedding", 
      "X7DE8173F80E07AB1" ], 
  [ "\033[2XKernelEmbedding\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "kernelembedding", 
      "X7DE8173F80E07AB1" ], 
  [ "\033[2XBoundary\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "boundary", "X7DE8173F80E07AB1" ]
    , [ "\033[2XName\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "name", "X7DE8173F80E07AB1" ], 
  [ "\033[2XSize\033[0X", "2.3-1", [ 2, 3, 1 ], 220, 10, "size", "X7DE8173F80E07AB1" ], 
  [ "\033[2XCat1\033[0X", "2.3-2", [ 2, 3, 2 ], 254, 11, "cat1", "X7F4221DF83D1B6D8" ], 
  [ "\033[2XPreCat1ByTailHeadEmbedding\033[0X", "2.3-2", [ 2, 3, 2 ], 254, 11, 
      "precat1bytailheadembedding", "X7F4221DF83D1B6D8" ], 
  [ "\033[2XPreCat1ByEndomorphisms\033[0X", "2.3-2", [ 2, 3, 2 ], 254, 11, 
      "precat1byendomorphisms", "X7F4221DF83D1B6D8" ], 
  [ "\033[2XPreCat1ByNormalSubgroup\033[0X", "2.3-2", [ 2, 3, 2 ], 254, 11, 
      "precat1bynormalsubgroup", "X7F4221DF83D1B6D8" ], 
  [ "\033[2XCat1ByPeifferQuotient\033[0X", "2.3-2", [ 2, 3, 2 ], 254, 11, 
      "cat1bypeifferquotient", "X7F4221DF83D1B6D8" ], 
  [ "\033[2XReverse\033[0X", "2.3-2", [ 2, 3, 2 ], 254, 11, "reverse", "X7F4221DF83D1B6D8" ], 
  [ "\033[2XCat1OfXMod\033[0X", "2.3-3", [ 2, 3, 3 ], 310, 12, "cat1ofxmod", 
      "X7EB380BA7AC52D53" ], 
  [ "\033[2XXModOfCat1\033[0X", "2.3-3", [ 2, 3, 3 ], 310, 12, "xmodofcat1", 
      "X7EB380BA7AC52D53" ], 
  [ "\033[2XPreCat1OfPreXMod\033[0X", "2.3-3", [ 2, 3, 3 ], 310, 12, "precat1ofprexmod", 
      "X7EB380BA7AC52D53" ], 
  [ "\033[2XPreXModOfPreCat1\033[0X", "2.3-3", [ 2, 3, 3 ], 310, 12, "prexmodofprecat1", 
      "X7EB380BA7AC52D53" ], 
  [ "selection of a small cat1-group", "2.4", [ 2, 4, 0 ], 355, 13, 
      "selection of a small cat1-group", "X7B38B960782937EB" ], 
  [ "\033[2XCat1Select\033[0X", "2.4-1", [ 2, 4, 1 ], 366, 13, "cat1select", 
      "X7B8E67D880E380C8" ], 
  [ "2d-mapping", "3.", [ 3, 0, 0 ], 1, 15, "2d-mapping", "X815144D67C1D1AE3" ], 
  [ "morphism of 2d-object", "3.1", [ 3, 1, 0 ], 4, 15, "morphism of 2d-object", 
      "X81A31F338392CAD8" ], 
  [ "crossed module morphism", "3.1", [ 3, 1, 0 ], 4, 15, "crossed module morphism", 
      "X81A31F338392CAD8" ], 
  [ "\033[2XSource\033[0X", "3.1-1", [ 3, 1, 1 ], 10, 15, "source", "X7DE8173F80E07AB1" ], 
  [ "\033[2XRange\033[0X", "3.1-1", [ 3, 1, 1 ], 10, 15, "range", "X7DE8173F80E07AB1" ], 
  [ "\033[2XSourceHom\033[0X", "3.1-1", [ 3, 1, 1 ], 10, 15, "sourcehom", "X7DE8173F80E07AB1" 
     ], [ "\033[2XRangeHom\033[0X", "3.1-1", [ 3, 1, 1 ], 10, 15, "rangehom", 
      "X7DE8173F80E07AB1" ], 
  [ "morphism", "3.2", [ 3, 2, 0 ], 22, 15, "morphism", "X78CADE4D7EB1EA44" ], 
  [ "\033[2XIsXModMorphism\033[0X", "3.2-1", [ 3, 2, 1 ], 25, 15, "isxmodmorphism", 
      "X82B912B18127A42A" ], [ "\033[2XIsCat1Morphism\033[0X", "3.2-1", [ 3, 2, 1 ], 25, 15, 
      "iscat1morphism", "X82B912B18127A42A" ], 
  [ "\033[2XIsPreXModMorphism\033[0X", "3.2-1", [ 3, 2, 1 ], 25, 15, "isprexmodmorphism", 
      "X82B912B18127A42A" ], 
  [ "\033[2XIsPreCat1Morphism\033[0X", "3.2-1", [ 3, 2, 1 ], 25, 15, "isprecat1morphism", 
      "X82B912B18127A42A" ], 
  [ "\033[2XIsInjective\033[0X", "3.2-2", [ 3, 2, 2 ], 47, 16, "isinjective", 
      "X7F065FD7822C0A12" ], 
  [ "\033[2XIsSurjective\033[0X", "3.2-2", [ 3, 2, 2 ], 47, 16, "issurjective", 
      "X7F065FD7822C0A12" ], [ "\033[2XIsSingleValued\033[0X", "3.2-2", [ 3, 2, 2 ], 47, 16, 
      "issinglevalued", "X7F065FD7822C0A12" ], 
  [ "\033[2XIsTotal\033[0X", "3.2-2", [ 3, 2, 2 ], 47, 16, "istotal", "X7F065FD7822C0A12" ], 
  [ "\033[2XIsBijective\033[0X", "3.2-2", [ 3, 2, 2 ], 47, 16, "isbijective", 
      "X7F065FD7822C0A12" ], [ "\033[2XIsEndomorphism2dObject\033[0X", "3.2-2", [ 3, 2, 2 ], 
      47, 16, "isendomorphism2dobject", "X7F065FD7822C0A12" ], 
  [ "\033[2XIsAutomorphism2dObject\033[0X", "3.2-2", [ 3, 2, 2 ], 47, 16, 
      "isautomorphism2dobject", "X7F065FD7822C0A12" ], 
  [ "\033[2XXModMorphism\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 16, "xmodmorphism", 
      "X7CEABD6487CF2A38" ], [ "\033[2XXModMorphismByHoms\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 
      16, "xmodmorphismbyhoms", "X7CEABD6487CF2A38" ], 
  [ "\033[2XPreXModMorphism\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 16, "prexmodmorphism", 
      "X7CEABD6487CF2A38" ], 
  [ "\033[2XPreXModMorphismByHoms\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 16, 
      "prexmodmorphismbyhoms", "X7CEABD6487CF2A38" ], 
  [ "\033[2XInclusionMorphism2dObjects\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 16, 
      "inclusionmorphism2dobjects", "X7CEABD6487CF2A38" ], 
  [ "\033[2XInnerAutomorphismXMod\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 16, 
      "innerautomorphismxmod", "X7CEABD6487CF2A38" ], 
  [ "\033[2XIdentityMapping\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 16, "identitymapping", 
      "X7CEABD6487CF2A38" ], 
  [ "\033[2XIsomorphismPermObject\033[0X", "3.2-3", [ 3, 2, 3 ], 61, 16, 
      "isomorphismpermobject", "X7CEABD6487CF2A38" ], 
  [ "display a 2d-mapping", "3.2-3", [ 3, 2, 3 ], 61, 16, "display a 2d-mapping", 
      "X7CEABD6487CF2A38" ], 
  [ "\033[2XCat1Morphism\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, "cat1morphism", 
      "X85EB07357B682966" ], [ "\033[2XCat1MorphismByHoms\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 
      17, "cat1morphismbyhoms", "X85EB07357B682966" ], 
  [ "\033[2XPreCat1Morphism\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, "precat1morphism", 
      "X85EB07357B682966" ], 
  [ "\033[2XPreCat1MorphismByHoms\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, 
      "precat1morphismbyhoms", "X85EB07357B682966" ], 
  [ "\033[2XInclusionMorphism2dObjects\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, 
      "inclusionmorphism2dobjects", "X85EB07357B682966" ], 
  [ "\033[2XInnerAutomorphismCat1\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, 
      "innerautomorphismcat1", "X85EB07357B682966" ], 
  [ "\033[2XIdentityMapping\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, "identitymapping", 
      "X85EB07357B682966" ], 
  [ "\033[2XIsmorphismPermObject\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, 
      "ismorphismpermobject", "X85EB07357B682966" ], 
  [ "\033[2XSmallerDegreePerm2dObject\033[0X", "3.3-1", [ 3, 3, 1 ], 120, 17, 
      "smallerdegreeperm2dobject", "X85EB07357B682966" ], 
  [ "operations on morphisms", "3.4", [ 3, 4, 0 ], 161, 18, "operations on morphisms", 
      "X7B09A28579707CAF" ], [ "\033[2XOrder\033[0X", "3.4-1", [ 3, 4, 1 ], 164, 18, "order", 
      "X84F59A2687C62763" ], 
  [ "\033[2XCompositionMorphism\033[0X", "3.4-1", [ 3, 4, 1 ], 164, 18, "compositionmorphism",
      "X84F59A2687C62763" ], 
  [ "\033[2XKernel\033[0X", "3.4-2", [ 3, 4, 2 ], 201, 18, "kernel", "X7DCD99628504B810" ], 
  [ "\033[2XKernel2dMapping\033[0X", "3.4-2", [ 3, 4, 2 ], 201, 18, "kernel2dmapping", 
      "X7DCD99628504B810" ], 
  [ "up 2d-mapping of 2d-object", "4.", [ 4, 0, 0 ], 1, 20, "up 2d-mapping of 2d-object", 
      "X7C01AE7783898705" ], 
  [ "Whitehead multiplication", "4.1", [ 4, 1, 0 ], 4, 20, "whitehead multiplication", 
      "X78790B7D87D9FD73" ], 
  [ "\033[2XIsDerivation\033[0X", "4.1-1", [ 4, 1, 1 ], 7, 20, "isderivation", 
      "X82FE679F79FDBF75" ], 
  [ "\033[2XIsSection\033[0X", "4.1-1", [ 4, 1, 1 ], 7, 20, "issection", "X82FE679F79FDBF75" ]
    , [ "\033[2XIsUp2dMapping\033[0X", "4.1-1", [ 4, 1, 1 ], 7, 20, "isup2dmapping", 
      "X82FE679F79FDBF75" ], [ "derivation, of crossed module", "4.1-1", [ 4, 1, 1 ], 7, 20, 
      "derivation of crossed module", "X82FE679F79FDBF75" ], 
  [ "Whitehead monoid", "4.1-1", [ 4, 1, 1 ], 7, 20, "whitehead monoid", "X82FE679F79FDBF75" ]
    , [ "regular derivation", "4.1-1", [ 4, 1, 1 ], 7, 20, "regular derivation", 
      "X82FE679F79FDBF75" ], 
  [ "Whitehead group", "4.1-1", [ 4, 1, 1 ], 7, 20, "whitehead group", "X82FE679F79FDBF75" ], 
  [ "section, of cat1-group", "4.1-1", [ 4, 1, 1 ], 7, 20, "section of cat1-group", 
      "X82FE679F79FDBF75" ], 
  [ "Whitehead multiplication", "4.1-1", [ 4, 1, 1 ], 7, 20, "whitehead multiplication", 
      "X82FE679F79FDBF75" ], [ "\033[2XDerivationByImages\033[0X", "4.1-2", [ 4, 1, 2 ], 55, 
      20, "derivationbyimages", "X83EC6F7780F5636E" ], 
  [ "\033[2XObject2d\033[0X", "4.1-2", [ 4, 1, 2 ], 55, 20, "object2d", "X83EC6F7780F5636E" ],
  [ "\033[2XGeneratorImages\033[0X", "4.1-2", [ 4, 1, 2 ], 55, 20, "generatorimages", 
      "X83EC6F7780F5636E" ], 
  [ "\033[2XSectionByImages\033[0X", "4.1-3", [ 4, 1, 3 ], 106, 21, "sectionbyimages", 
      "X79FE2BFD85FE88B3" ], 
  [ "\033[2XSectionByDerivation\033[0X", "4.1-3", [ 4, 1, 3 ], 106, 21, "sectionbyderivation",
      "X79FE2BFD85FE88B3" ], 
  [ "\033[2XDerivationBySection\033[0X", "4.1-3", [ 4, 1, 3 ], 106, 21, "derivationbysection",
      "X79FE2BFD85FE88B3" ], [ "\033[2XRegularDerivations\033[0X", "4.2-1", [ 4, 2, 1 ], 138, 
      22, "regularderivations", "X84CD856C84BDB019" ], 
  [ "\033[2XAllDerivations\033[0X", "4.2-1", [ 4, 2, 1 ], 138, 22, "allderivations", 
      "X84CD856C84BDB019" ], 
  [ "\033[2XRegularSections\033[0X", "4.2-1", [ 4, 2, 1 ], 138, 22, "regularsections", 
      "X84CD856C84BDB019" ], 
  [ "\033[2XAllSections\033[0X", "4.2-1", [ 4, 2, 1 ], 138, 22, "allsections", 
      "X84CD856C84BDB019" ], 
  [ "\033[2XImagesList\033[0X", "4.2-1", [ 4, 2, 1 ], 138, 22, "imageslist", 
      "X84CD856C84BDB019" ], 
  [ "\033[2XImagesTable\033[0X", "4.2-1", [ 4, 2, 1 ], 138, 22, "imagestable", 
      "X84CD856C84BDB019" ], 
  [ "\033[2XCompositeDerivation\033[0X", "4.2-2", [ 4, 2, 2 ], 184, 23, "compositederivation",
      "X804BC7FB7CD0B325" ], [ "\033[2XImagePositions\033[0X", "4.2-2", [ 4, 2, 2 ], 184, 23, 
      "imagepositions", "X804BC7FB7CD0B325" ], 
  [ "\033[2XCompositeSection\033[0X", "4.2-2", [ 4, 2, 2 ], 184, 23, "compositesection", 
      "X804BC7FB7CD0B325" ], 
  [ "\033[2XWhiteheadGroupTable\033[0X", "4.2-3", [ 4, 2, 3 ], 218, 23, "whiteheadgrouptable",
      "X7F4E9D127E188A63" ], 
  [ "\033[2XWhiteheadMonoidTable\033[0X", "4.2-3", [ 4, 2, 3 ], 218, 23, 
      "whiteheadmonoidtable", "X7F4E9D127E188A63" ], 
  [ "\033[2XWhiteheadPermGroup\033[0X", "4.2-3", [ 4, 2, 3 ], 218, 23, "whiteheadpermgroup", 
      "X7F4E9D127E188A63" ], 
  [ "\033[2XWhiteheadTransMonoid\033[0X", "4.2-3", [ 4, 2, 3 ], 218, 23, 
      "whiteheadtransmonoid", "X7F4E9D127E188A63" ], 
  [ "actor", "5.1", [ 5, 1, 0 ], 4, 25, "actor", "X7B853602873FC7AB" ], 
  [ "\033[2XWhiteheadXMod\033[0X", "5.1-1", [ 5, 1, 1 ], 14, 25, "whiteheadxmod", 
      "X790EBC7C7D320C03" ], 
  [ "\033[2XLueXMod\033[0X", "5.1-1", [ 5, 1, 1 ], 14, 25, "luexmod", "X790EBC7C7D320C03" ], 
  [ "\033[2XNorrieXMod\033[0X", "5.1-1", [ 5, 1, 1 ], 14, 25, "norriexmod", 
      "X790EBC7C7D320C03" ], 
  [ "\033[2XActorXMod\033[0X", "5.1-1", [ 5, 1, 1 ], 14, 25, "actorxmod", "X790EBC7C7D320C03" 
     ], [ "\033[2XAutomorphismPermGroup\033[0X", "5.1-1", [ 5, 1, 1 ], 14, 25, 
      "automorphismpermgroup", "X790EBC7C7D320C03" ], 
  [ "crossed square", "5.1-1", [ 5, 1, 1 ], 14, 25, "crossed square", "X790EBC7C7D320C03" ], 
  [ "\033[2XCentre\033[0X", "5.1-2", [ 5, 1, 2 ], 42, 25, "centre", "X847ABE6F781C7FE8" ], 
  [ "\033[2XInnerActor\033[0X", "5.1-2", [ 5, 1, 2 ], 42, 25, "inneractor", 
      "X847ABE6F781C7FE8" ], 
  [ "\033[2XInnerMorphism\033[0X", "5.1-2", [ 5, 1, 2 ], 42, 25, "innermorphism", 
      "X847ABE6F781C7FE8" ], 
  [ "induced crossed module", "6.1", [ 6, 1, 0 ], 4, 28, "induced crossed module", 
      "X7966FF497C36C465" ], 
  [ "\033[2XInducedXMod\033[0X", "6.1-1", [ 6, 1, 1 ], 7, 28, "inducedxmod", 
      "X874CB2A278AADE3A" ], 
  [ "\033[2XInducedCat1\033[0X", "6.1-1", [ 6, 1, 1 ], 7, 28, "inducedcat1", 
      "X874CB2A278AADE3A" ], 
  [ "\033[2XIsInducedXMod\033[0X", "6.1-1", [ 6, 1, 1 ], 7, 28, "isinducedxmod", 
      "X874CB2A278AADE3A" ], 
  [ "\033[2XIsInducedCat1\033[0X", "6.1-1", [ 6, 1, 1 ], 7, 28, "isinducedcat1", 
      "X874CB2A278AADE3A" ], 
  [ "\033[2XMorphismOfInducedXMod\033[0X", "6.1-1", [ 6, 1, 1 ], 7, 28, 
      "morphismofinducedxmod", "X874CB2A278AADE3A" ], 
  [ "\033[2XAllInducedXMods\033[0X", "6.1-2", [ 6, 1, 2 ], 140, 30, "allinducedxmods", 
      "X7B24D47F8078540F" ], [ "crossed module", "7.", [ 7, 0, 0 ], 1, 31, "crossed module", 
      "X8016C9727A692E1A" ], 
  [ "cat2-group", "7.", [ 7, 0, 0 ], 1, 31, "cat2-group", "X8016C9727A692E1A" ], 
  [ "3d-object", "7.", [ 7, 0, 0 ], 1, 31, "3d-object", "X8016C9727A692E1A" ], 
  [ "crossed pairing", "7.", [ 7, 0, 0 ], 1, 31, "crossed pairing", "X8016C9727A692E1A" ], 
  [ "\033[2XXSq\033[0X", "7.1-1", [ 7, 1, 1 ], 89, 32, "xsq", "X7EE4565E79848E6C" ], 
  [ "\033[2XXSqByNormalSubgroups\033[0X", "7.1-1", [ 7, 1, 1 ], 89, 32, 
      "xsqbynormalsubgroups", "X7EE4565E79848E6C" ], 
  [ "\033[2XActorXSq\033[0X", "7.1-1", [ 7, 1, 1 ], 89, 32, "actorxsq", "X7EE4565E79848E6C" ],
  [ "\033[2XTranspose3dObject\033[0X", "7.1-1", [ 7, 1, 1 ], 89, 32, "transpose3dobject", 
      "X7EE4565E79848E6C" ], 
  [ "\033[2XName\033[0X", "7.1-1", [ 7, 1, 1 ], 89, 32, "name", "X7EE4565E79848E6C" ], 
  [ "\033[2XIsXSq\033[0X", "7.1-2", [ 7, 1, 2 ], 188, 33, "isxsq", "X7E8088ED7ABF4CAC" ], 
  [ "\033[2XIs3dObject\033[0X", "7.1-2", [ 7, 1, 2 ], 188, 33, "is3dobject", 
      "X7E8088ED7ABF4CAC" ], [ "\033[2XIsPerm3dObject\033[0X", "7.1-2", [ 7, 1, 2 ], 188, 33, 
      "isperm3dobject", "X7E8088ED7ABF4CAC" ], 
  [ "\033[2XIsPc3dObject\033[0X", "7.1-2", [ 7, 1, 2 ], 188, 33, "ispc3dobject", 
      "X7E8088ED7ABF4CAC" ], 
  [ "\033[2XIsFp3dObject\033[0X", "7.1-2", [ 7, 1, 2 ], 188, 33, "isfp3dobject", 
      "X7E8088ED7ABF4CAC" ], 
  [ "\033[2XIsPreXSq\033[0X", "7.1-2", [ 7, 1, 2 ], 188, 33, "isprexsq", "X7E8088ED7ABF4CAC" ]
    , [ "\033[2XUp2dObject\033[0X", "7.1-3", [ 7, 1, 3 ], 200, 34, "up2dobject", 
      "X854AD9647FA34EB2" ], 
  [ "\033[2XLeft2dObject\033[0X", "7.1-3", [ 7, 1, 3 ], 200, 34, "left2dobject", 
      "X854AD9647FA34EB2" ], 
  [ "\033[2XDown2dObject\033[0X", "7.1-3", [ 7, 1, 3 ], 200, 34, "down2dobject", 
      "X854AD9647FA34EB2" ], [ "\033[2XRight2dObject\033[0X", "7.1-3", [ 7, 1, 3 ], 200, 34, 
      "right2dobject", "X854AD9647FA34EB2" ], 
  [ "\033[2XDiagonalAction\033[0X", "7.1-3", [ 7, 1, 3 ], 200, 34, "diagonalaction", 
      "X854AD9647FA34EB2" ], [ "\033[2XXPair\033[0X", "7.1-3", [ 7, 1, 3 ], 200, 34, "xpair", 
      "X854AD9647FA34EB2" ], [ "\033[2XImageElmXPair\033[0X", "7.1-3", [ 7, 1, 3 ], 200, 34, 
      "imageelmxpair", "X854AD9647FA34EB2" ], 
  [ "morphism of 3d-object", "7.2", [ 7, 2, 0 ], 237, 34, "morphism of 3d-object", 
      "X78A79A7E85128C7B" ], 
  [ "crossed square morphism", "7.2", [ 7, 2, 0 ], 237, 34, "crossed square morphism", 
      "X78A79A7E85128C7B" ], 
  [ "3d-mapping", "7.2", [ 7, 2, 0 ], 237, 34, "3d-mapping", "X78A79A7E85128C7B" ], 
  [ "\033[2XSource\033[0X", "7.2-1", [ 7, 2, 1 ], 243, 34, "source", "X7DE8173F80E07AB1" ], 
  [ "\033[2XRange\033[0X", "7.2-1", [ 7, 2, 1 ], 243, 34, "range", "X7DE8173F80E07AB1" ], 
  [ "\033[2XUp2dMorphism\033[0X", "7.2-1", [ 7, 2, 1 ], 243, 34, "up2dmorphism", 
      "X7DE8173F80E07AB1" ], [ "\033[2XLeft2dMorphism\033[0X", "7.2-1", [ 7, 2, 1 ], 243, 34, 
      "left2dmorphism", "X7DE8173F80E07AB1" ], 
  [ "\033[2XDown2dMorphism\033[0X", "7.2-1", [ 7, 2, 1 ], 243, 34, "down2dmorphism", 
      "X7DE8173F80E07AB1" ], 
  [ "\033[2XRight2dMorphism\033[0X", "7.2-1", [ 7, 2, 1 ], 243, 34, "right2dmorphism", 
      "X7DE8173F80E07AB1" ], [ "\033[2XIsXSqMorphism\033[0X", "7.2-2", [ 7, 2, 2 ], 257, 35, 
      "isxsqmorphism", "X7EB013DB87B1F45C" ], 
  [ "\033[2XIsPreXSqMorphism\033[0X", "7.2-2", [ 7, 2, 2 ], 257, 35, "isprexsqmorphism", 
      "X7EB013DB87B1F45C" ], 
  [ "\033[2XIsBijective\033[0X", "7.2-2", [ 7, 2, 2 ], 257, 35, "isbijective", 
      "X7EB013DB87B1F45C" ], [ "\033[2XIsAutomorphism3dObject\033[0X", "7.2-2", [ 7, 2, 2 ], 
      257, 35, "isautomorphism3dobject", "X7EB013DB87B1F45C" ], 
  [ "inclusion mapping", "8.1", [ 8, 1, 0 ], 12, 36, "inclusion mapping", "X844AFC3A7DD6E190" 
     ], [ "restriction mapping", "8.1", [ 8, 1, 0 ], 12, 36, "restriction mapping", 
      "X844AFC3A7DD6E190" ], [ "\033[2XInclusionMappingGroups\033[0X", "8.1-1", [ 8, 1, 1 ], 
      18, 36, "inclusionmappinggroups", "X7F8E297F7C84DE51" ], 
  [ "\033[2XRestrictionMappingGroups\033[0X", "8.1-1", [ 8, 1, 1 ], 18, 36, 
      "restrictionmappinggroups", "X7F8E297F7C84DE51" ], 
  [ "\033[2XMappingToOne\033[0X", "8.1-1", [ 8, 1, 1 ], 18, 36, "mappingtoone", 
      "X7F8E297F7C84DE51" ], 
  [ "endomorphism classes", "8.2", [ 8, 2, 0 ], 43, 37, "endomorphism classes", 
      "X865059CB78FDD5F9" ], [ "\033[2XEndomorphismClasses\033[0X", "8.2-1", [ 8, 2, 1 ], 46, 
      37, "endomorphismclasses", "X79CD91BD78953CDF" ], 
  [ "\033[2XEndoClassNaturalHom\033[0X", "8.2-1", [ 8, 2, 1 ], 46, 37, "endoclassnaturalhom", 
      "X79CD91BD78953CDF" ], 
  [ "\033[2XEndoClassIsomorphism\033[0X", "8.2-1", [ 8, 2, 1 ], 46, 37, 
      "endoclassisomorphism", "X79CD91BD78953CDF" ], 
  [ "\033[2XEndoClassConjugators\033[0X", "8.2-1", [ 8, 2, 1 ], 46, 37, 
      "endoclassconjugators", "X79CD91BD78953CDF" ], 
  [ "\033[2XAutoGroup\033[0X", "8.2-1", [ 8, 2, 1 ], 46, 37, "autogroup", "X79CD91BD78953CDF" 
     ], [ "\033[2XInnerAutomorphismByNormalSubgroup\033[0X", "8.2-2", [ 8, 2, 2 ], 115, 38, 
      "innerautomorphismbynormalsubgroup", "X8750B6B08694462A" ], 
  [ "\033[2XIsGroupOfAutomorphisms\033[0X", "8.2-2", [ 8, 2, 2 ], 115, 38, 
      "isgroupofautomorphisms", "X8750B6B08694462A" ], 
  [ "abelian module", "8.3", [ 8, 3, 0 ], 135, 38, "abelian module", "X852BD9CA84C2AFF0" ], 
  [ "\033[2XAbelianModuleObject\033[0X", "8.3-1", [ 8, 3, 1 ], 138, 38, "abelianmoduleobject",
      "X806DEFCC859BB4F1" ], 
  [ "\033[2XIsAbelianModule\033[0X", "8.3-1", [ 8, 3, 1 ], 138, 38, "isabelianmodule", 
      "X806DEFCC859BB4F1" ], [ "\033[2XAbelianModuleGroup\033[0X", "8.3-1", [ 8, 3, 1 ], 138, 
      38, "abelianmodulegroup", "X806DEFCC859BB4F1" ], 
  [ "\033[2XAbelianModuleAction\033[0X", "8.3-1", [ 8, 3, 1 ], 138, 38, "abelianmoduleaction",
      "X806DEFCC859BB4F1" ], 
  [ "distinct and common representatives", "8.4", [ 8, 4, 0 ], 167, 39, 
      "distinct and common representatives", "X82F443FF84B8FCE3" ], 
  [ "\033[2XDistinctRepresentatives\033[0X", "8.4-1", [ 8, 4, 1 ], 170, 39, 
      "distinctrepresentatives", "X78105CAA847A888C" ], 
  [ "\033[2XCommonRepresentatives\033[0X", "8.4-1", [ 8, 4, 1 ], 170, 39, 
      "commonrepresentatives", "X78105CAA847A888C" ], 
  [ "\033[2XCommonTransversal\033[0X", "8.4-1", [ 8, 4, 1 ], 170, 39, "commontransversal", 
      "X78105CAA847A888C" ], 
  [ "\033[2XIsCommonTransversal\033[0X", "8.4-1", [ 8, 4, 1 ], 170, 39, "iscommontransversal",
      "X78105CAA847A888C" ], [ "version 1 for \033[5XGAP\033[0m 3", "9.1-1", [ 9, 1, 1 ], 20, 
      40, "version 1 for gap 3", "X848198AA862249C4" ], 
  [ "version 2.001 for \033[5XGAP\033[0m 4", "9.1-3", [ 9, 1, 3 ], 38, 40, 
      "version 2.001 for gap 4", "X7F9CE0487BB6F660" ] ]
);