<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head> <title>GAP (HAP) - Index</title> <meta http-equiv="content-type" content="text/html; charset=UTF-8" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> </head> <body><a href="../www/index.html"><small>HAP home</small></a> <div class="chlinkprevnexttop"> <a href="chap0.html">Top of Book</a> <a href="chap25.html">Previous Chapter</a> </div> <p><a id="X83A0356F839C696F" name="X83A0356F839C696F"></a></p> <div class="index"> <h3>Index</h3> Add <a href="chap24.html#X87FE4ABB83AF131C">24.</a><br /> AddFreeWords <a href="chap14.html#X8276B4377D092A80">14.</a><br /> AddFreeWordsModP <a href="chap14.html#X8276B4377D092A80">14.</a><br /> AlgebraicReduction <a href="chap14.html#X8276B4377D092A80">14.</a><br /> Append <a href="chap24.html#X87FE4ABB83AF131C">24.</a><br /> AutomorphismGroupAsCatOneGroup <a href="chap18.html#X7B54B8CA841C517B">18.</a><br /> BaerInvariant <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> Bettinumbers <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> BigStepLCS <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> BoundaryMap <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> BoundaryMatrix <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> BoundarySingularities <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> BoundaryTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> CayleyGraphDisplay <a href="chap11.html#X7A2144518112F830">11.</a><br /> CcGroup (HAPcocyclic) <a href="chap13.html#X85A9B66278AF63D9">13.</a><br /> Centre <a href="chap17.html#X7D02CE0A83211FB7">17.</a><br /> ChevalleyEilenbergComplex <a href="chap5.html#X7A06103979B92808">5.</a><br /> ChildClose <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> ChildCommand <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> ChildFunction <a href="chap22.html#X85B21D56816A1B39">22.</a><br /> ChildGet <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> ChildProcess <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> ChildPut <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> ChildRead <a href="chap22.html#X85B21D56816A1B39">22.</a><br /> ChildReadEval <a href="chap22.html#X85B21D56816A1B39">22.</a><br /> Classify <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> Coclass <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> CocycleCondition <a href="chap13.html#X85A9B66278AF63D9">13.</a><br /> Cohomology <a href="chap6.html#X782177107A5D6D19">6.</a><br /> CohomologyModule <a href="chap6.html#X782177107A5D6D19">6.</a><br /> CohomologyPrimePart <a href="chap6.html#X782177107A5D6D19">6.</a><br /> ComplementTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> Compose(f,g) <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> CompositionSeriesOfFpGModules <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> ConcatenatedTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> ContractTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> CoxeterDiagramComponents <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterDiagramDegree <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterDiagramDisplay <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterDiagramFpArtinGroup <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterDiagramFpCoxeterGroup <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterDiagramIsSpherical <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterDiagramMatrix <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterDiagramVertices <a href="chap19.html#X79D0502085B6734A">19.</a><br /> CoxeterSubDiagram <a href="chap19.html#X79D0502085B6734A">19.</a><br /> DesuspensionFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> DesuspensionMtxModule <a href="chap16.html#X85B05BBA78ED7BE2">16.</a><br /> Dimension <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> DirectProductGog <a href="chap17.html#X7D02CE0A83211FB7">17.</a><br /> DirectSumOfFpGModules <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> EpiCentre <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> EquivariantChainMap <a href="chap3.html#X7E91068780486C3A">3.</a><br /> EvaluateProperty <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> EvenSubgroup <a href="chap19.html#X79D0502085B6734A">19.</a><br /> ExpansionOfRationalFunction <a href="chap7.html#X850CDAFE801E2B2A">7.</a><br /> FpG_to_MtxModule <a href="chap16.html#X85B05BBA78ED7BE2">16.</a><br /> FpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> FpGModuleDualBasis <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> FpGModuleHomomorphism <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> Fundamental domains (HAPcryst) <a href="chap12.html#X7CD67FEA7A1B6345">12.</a><br /> GeneratorsOfFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> GeneratorsOfMtxModule <a href="chap16.html#X85B05BBA78ED7BE2">16.</a><br /> GOuterGroup <a href="chap17.html#X7D02CE0A83211FB7">17.</a><br /> GOuterGroupHomomorphismNC <a href="chap17.html#X7D02CE0A83211FB7">17.</a><br /> GOuterHomomorphismTester <a href="chap17.html#X7D02CE0A83211FB7">17.</a><br /> GraphOfGroupsDisplay <a href="chap19.html#X79D0502085B6734A">19.</a><br /> GraphOfGroupsTest <a href="chap19.html#X79D0502085B6734A">19.</a><br /> GroupAlgebraAsFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> GroupCohomology <a href="chap6.html#X782177107A5D6D19">6.</a><br /> GroupHomology <a href="chap6.html#X782177107A5D6D19">6.</a><br /> GroupOfResolution <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> HAPcopyright <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> HAPPrintTo <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> HAPRead <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> Homology <a href="chap6.html#X782177107A5D6D19">6.</a><br /> HomologyPb <a href="chap6.html#X782177107A5D6D19">6.</a><br /> HomologyPrimePart <a href="chap6.html#X782177107A5D6D19">6.</a><br /> HomotopyGroup <a href="chap18.html#X7B54B8CA841C517B">18.</a><br /> HomotopyModule <a href="chap18.html#X7B54B8CA841C517B">18.</a><br /> HomToGModule <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> HomToIntegers <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> HomToIntegersModP <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> HomToIntegralModule <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> IdentityAmongRelatorsDisplay <a href="chap11.html#X7A2144518112F830">11.</a><br /> ImageOfFpGModuleHomomorphism <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> IntegralCupProduct <a href="chap8.html#X7A9561E47A4994F5">8.</a><br /> IntegralRingGenerators <a href="chap8.html#X7A9561E47A4994F5">8.</a><br /> IntersectionOfFpGModules <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> IsAspherical <a href="chap11.html#X7A2144518112F830">11.</a><br /> IsAvailableChild <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> IsFpGModuleHomomorphismData <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> IsLieAlgebraHomomorphism <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> IsSuperperfect <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> LeibnizAlgebraHomology <a href="chap6.html#X782177107A5D6D19">6.</a><br /> LeibnizComplex <a href="chap5.html#X7A06103979B92808">5.</a><br /> LeibnizQuasiCoveringHomomorphism <a href="chap10.html#X7A3DC9327EE1BE6C">10.</a><br /> Length <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> LieAlgebraHomology <a href="chap6.html#X782177107A5D6D19">6.</a><br /> LieCoveringHomomorphism <a href="chap10.html#X7A3DC9327EE1BE6C">10.</a><br /> LieEpiCentre <a href="chap10.html#X7A3DC9327EE1BE6C">10.</a><br /> LieExteriorSquare <a href="chap10.html#X7A3DC9327EE1BE6C">10.</a><br /> LieTensorCentre <a href="chap10.html#X7A3DC9327EE1BE6C">10.</a><br /> LieTensorSquare <a href="chap10.html#X7A3DC9327EE1BE6C">10.</a><br /> ListToPseudoList <a href="chap24.html#X87FE4ABB83AF131C">24.</a><br /> LowerCentralSeriesLieAlgebra <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> MakeHAPManual <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> Map <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> MatrixToTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> MaximalSubmoduleOfFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> MaximalSubmodulesOfFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> ModPCohomologyGenerators <a href="chap8.html#X7A9561E47A4994F5">8.</a><br /> ModPCohomologyRing <a href="chap8.html#X7A9561E47A4994F5">8.</a><br /> ModPRingGenerators <a href="chap8.html#X7A9561E47A4994F5">8.</a><br /> ModuleAsCatOneGroup <a href="chap18.html#X7B54B8CA841C517B">18.</a><br /> MooreComplex <a href="chap18.html#X7B54B8CA841C517B">18.</a><br /> MultipleOfFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> MultiplyWord <a href="chap14.html#X8276B4377D092A80">14.</a><br /> Negate <a href="chap14.html#X8276B4377D092A80">14.</a><br /> NegateWord <a href="chap14.html#X8276B4377D092A80">14.</a><br /> NextAvailableChild <a href="chap21.html#X85F9DF1985B88C37">21.</a><br /> NonabelianExteriorProduct <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> NonabelianSymmetricKernel <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> NonabelianSymmetricSquare <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> NonabelianTensorProduct <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> NonabelianTensorSquare <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> NormalSubgroupAsCatOneGroup <a href="chap18.html#X7B54B8CA841C517B">18.</a><br /> OrbitPolytope <a href="chap12.html#X7CD67FEA7A1B6345">12.</a><br /> ParallelList <a href="chap22.html#X85B21D56816A1B39">22.</a><br /> PathComponent <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> PermToMatrixGroup <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> PoincareSeries <a href="chap7.html#X850CDAFE801E2B2A">7.</a><br /> PoincareSeriesPrimePart <a href="chap7.html#X850CDAFE801E2B2A">7.</a><br /> PolytopalComplex <a href="chap12.html#X7CD67FEA7A1B6345">12.</a><br /> PolytopalGenerators <a href="chap12.html#X7CD67FEA7A1B6345">12.</a><br /> Prank <a href="chap7.html#X850CDAFE801E2B2A">7.</a><br /> PresentationOfResolution <a href="chap11.html#X7A2144518112F830">11.</a><br /> PrimePartDerivedFunctor <a href="chap6.html#X782177107A5D6D19">6.</a><br /> PrintZGword <a href="chap14.html#X8276B4377D092A80">14.</a><br /> ProjectedFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> RadicalOfFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> RadicalSeriesOfFpGModule <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> RandomHomomorphismOfFpGModules <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> Rank <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> RankHomologyPGroup <a href="chap6.html#X782177107A5D6D19">6.</a><br /> RankPrimeHomology <a href="chap6.html#X782177107A5D6D19">6.</a><br /> ReadImageAsMatrix <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> ReadImageAsTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> RefineClassification <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> RelativeSchurMultiplier <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> ResolutionAbelianGroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionAlmostCrystalGroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionAlmostCrystalQuotient <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionArtinGroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionAsphericalPresentation <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionBieberbachGroup (HAPcryst) <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionDirectProduct <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionExtension <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionFiniteDirectProduct <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionFiniteExtension <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionFiniteGroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionFiniteSubgroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionFpGModule <a href="chap2.html#X841673BA782D0D1D">2.</a><br /> ResolutionGraphOfGroups <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionNilpotentGroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionNormalSeries <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionPrimePowerGroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionSmallFpGroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionSubgroup <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> ResolutionSubnormalSeries <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> SingularChainComplex <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> SolutionsMatDestructive <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> Source <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> StandardCocycle <a href="chap13.html#X85A9B66278AF63D9">13.</a><br /> SumOfFpGModules <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> SumOp <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> Syzygy <a href="chap13.html#X85A9B66278AF63D9">13.</a><br /> Target <a href="chap20.html#X7AE3B902812A10B0">20.</a><br /> TensorCentre <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> TensorWithIntegers <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> TensorWithIntegersModP <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> TensorWithRationals <a href="chap4.html#X78D1062D78BE08C1">4.</a><br /> TestHap <a href="chap25.html#X7C5563A37D566DA5">25.</a><br /> ThickenedTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> ThirdHomotopyGroupOfSuspensionB <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> TietzeReduction <a href="chap14.html#X8276B4377D092A80">14.</a><br /> TorsionGeneratorsAbelianGroup <a href="chap11.html#X7A2144518112F830">11.</a><br /> TwistedTensorProduct <a href="chap1.html#X8735FC5E7BB5CE3A">1.</a><br /> UpperEpicentralSeries <a href="chap9.html#X86DE968B7B20BD48">9.</a><br /> VectorStabilizer <a href="chap12.html#X7CD67FEA7A1B6345">12.</a><br /> VectorsToFpGModuleWords <a href="chap15.html#X81A2A3C97C09685E">15.</a><br /> ViewTopologicalSpace <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> WriteTopologicalSpaceAsImage <a href="chap23.html#X7B7E077887694A9F">23.</a><br /> <p> </p> </div> <div class="chlinkprevnextbot"> <a href="chap0.html">Top of Book</a> <a href="chap25.html">Previous Chapter</a> </div> <div class="chlinkbot"><span 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