<html><head><title>The GAP 4 Manual - Full Index G</title></head> <body bgcolor="ffffff"><h1>The GAP 4 Manual - Full Index G</h1> <p> <a href="theindex.htm">_</A> <a href="indxA.htm">A</A> <a href="indxB.htm">B</A> <a href="indxC.htm">C</A> <a href="indxD.htm">D</A> <a href="indxE.htm">E</A> <a href="indxF.htm">F</A> <a href="indxG.htm">G</A> <a href="indxH.htm">H</A> <a href="indxI.htm">I</A> <a href="indxJ.htm">J</A> <a href="indxK.htm">K</A> <a href="indxL.htm">L</A> <a href="indxM.htm">M</A> <a href="indxN.htm">N</A> <a href="indxO.htm">O</A> <a href="indxP.htm">P</A> <a href="indxQ.htm">Q</A> <a href="indxR.htm">R</A> <a href="indxS.htm">S</A> <a href="indxT.htm">T</A> <a href="indxU.htm">U</A> <a href="indxV.htm">V</A> <a href="indxW.htm">W</A> <a href="indxX.htm">X</A> <a href="indxY.htm">Y</A> <a href="indxZ.htm">Z</A> <dl> <dt>G-sets <a href="ext/CHAP006.htm#I2">E 6.3</a> <dt>G-sets <a href="ref/CHAP039.htm#I1">R 39.0</a> <a href="ref/CHAP039.htm#I19">R 39.11</a> <dt>g_N <a href="ref/CHAP018.htm#I16">R 18.4</a> <dt>gac <a href="ref/CHAP003.htm#I54">R 3.7</a> <dt>Galois Action <a href="ref/CHAP056.htm#SECT003">R 56.3</a> <dt>Galois Conjugacy of Cyclotomics <a href="ref/CHAP018.htm#SECT005">R 18.5</a> <dt>Galois Groups of Abelian Number Fields <a href="ref/CHAP058.htm#SECT004">R 58.4</a> <dt>GaloisCyc <a href="ref/CHAP018.htm#SSEC005.1">R 18.5.1</a> <dt>GaloisCyc, for class functions <a href="ref/CHAP070.htm#I13">R 70.4</a> <dt>GaloisField <a href="ref/CHAP057.htm#SSEC003.1">R 57.3.1</a> <dt>GaloisGroup, of field <a href="ref/CHAP056.htm#SSEC003.1">R 56.3.1</a> <dt>GaloisGroup, of rational class of a group <a href="ref/CHAP037.htm#SSEC010.8">R 37.10.8</a> <dt>GaloisMat <a href="ref/CHAP018.htm#SSEC005.5">R 18.5.5</a> <dt>GaloisStabilizer <a href="ref/CHAP058.htm#SSEC002.4">R 58.2.4</a> <dt>GaloisType <a href="ref/CHAP064.htm#SSEC011.3">R 64.11.3</a> <dt>GAP for Macintosh OS X <a href="ref/CHAP073.htm#SECT014">R 73.14</a> <dt>GAP for MacOS <a href="ref/CHAP073.htm#SECT015">R 73.15</a> <dt>GAP Packages <a href="ref/CHAP074.htm">R 74.0</a> <dt>GAP Root Directory <a href="ref/CHAP009.htm#SECT002">R 9.2</a> <dt>gap.rc <a href="ref/CHAP003.htm#I50">R 3.3</a> <a href="ref/CHAP003.htm#I51">R 3.4</a> <dt>GAP3 <a href="ref/CHAP003.htm#I53">R 3.4</a> <dt>Gap3CatalogueIdGroup <a href="ref/CHAP048.htm#SSEC007.7">R 48.7.7</a> <dt>GAPDocManualLab <a href="ext/CHAP004.htm#I5">E 4.15</a> <dt>GAPInfo <a href="ref/CHAP075.htm#I20">R 75.4</a> <dt>GAPInfo.RootPaths <a href="ref/CHAP003.htm#I19">R 3.1</a> <dt>GAPInfo.Version <a href="ext/CHAP004.htm#I3">E 4.14</a> <dt>GapInputPcGroup <a href="ref/CHAP044.htm#SSEC006.1">R 44.6.1</a> <dt>GapInputSCTable <a href="ref/CHAP060.htm#SSEC003.3">R 60.3.3</a> <dt>GAPKB_REW <a href="ref/CHAP051.htm#SSEC005.2">R 51.5.2</a> <dt>gapmacro.tex <a href="ext/CHAP002.htm#I0">E 2.1</a> <dt>GasmanLimits <a href="ref/CHAP007.htm#SSEC011.3">R 7.11.3</a> <dt>GasmanMessageStatus <a href="ref/CHAP007.htm#SSEC011.2">R 7.11.2</a> <dt>GasmanStatistics <a href="ref/CHAP007.htm#SSEC011.1">R 7.11.1</a> <dt>Gaussian algorithm <a href="ref/CHAP024.htm#I1">R 24.6</a> <dt>GaussianIntegers <a href="ref/CHAP058.htm#SSEC005.1">R 58.5.1</a> <dt>GaussianRationals <a href="ref/CHAP058.htm#SSEC001.3">R 58.1.3</a> <dt>Gaussians <a href="ref/CHAP058.htm#SECT005">R 58.5</a> <dt>Gcd <a href="ref/CHAP054.htm#SSEC007.1">R 54.7.1</a> <dt>Gcd and Lcm <a href="ref/CHAP054.htm#SECT007">R 54.7</a> <dt>Gcdex <a href="ref/CHAP014.htm#SSEC002.5">R 14.2.5</a> <dt>GcdInt <a href="ref/CHAP014.htm#SSEC002.4">R 14.2.4</a> <dt>GcdOp <a href="ref/CHAP054.htm#SSEC007.2">R 54.7.2</a> <dt>GcdRepresentation <a href="ref/CHAP054.htm#SSEC007.3">R 54.7.3</a> <dt>GcdRepresentationOp <a href="ref/CHAP054.htm#SSEC007.4">R 54.7.4</a> <dt>General Binary Relations <a href="ref/CHAP032.htm#SECT001">R 32.1</a> <dt>General hash table definitions and operations <a href="new/CHAP002.htm#SECT003">N 2.3</a> <dt>General Hash Tables <a href="new/CHAP002.htm#SECT002">N 2.2</a> <dt>General Mappings <a href="ref/CHAP031.htm#SECT012">R 31.12</a> <dt>General operations on transversals <a href="new/CHAP004.htm#SECT001">N 4.1</a> <dt>GeneralisedEigenspaces <a href="ref/CHAP024.htm#SSEC007.2">R 24.7.2</a> <dt>GeneralisedEigenvalues <a href="ref/CHAP024.htm#SSEC007.1">R 24.7.1</a> <dt>generalized characters <a href="ref/CHAP070.htm#I3">R 70.0</a> <dt>Generalized Conjugation Technique <a href="ext/CHAP008.htm#SECT001">E 8.1</a> <dt>generalized conjugation technique <a href="ext/CHAP008.htm#I0">E 8.1</a> <dt>GeneralizedEigenspaces <a href="ref/CHAP024.htm#SSEC007.2">R 24.7.2</a> <dt>GeneralizedEigenvalues <a href="ref/CHAP024.htm#SSEC007.1">R 24.7.1</a> <dt>GeneralLinearGroup <a href="ref/CHAP048.htm#SSEC002.1">R 48.2.1</a> <dt>GeneralMappingByElements <a href="ref/CHAP031.htm#SSEC001.1">R 31.1.1</a> <dt>GeneralMappingsFamily <a href="ref/CHAP031.htm#SSEC013.6">R 31.13.6</a> <dt>GeneralOrthogonalGroup <a href="ref/CHAP048.htm#SSEC002.6">R 48.2.6</a> <dt>GeneralUnitaryGroup <a href="ref/CHAP048.htm#SSEC002.3">R 48.2.3</a> <dt>Generating Fields <a href="ref/CHAP056.htm#SECT001">R 56.1</a> <dt>Generating modules <a href="ref/CHAP055.htm#SECT001">R 55.1</a> <dt>Generating Rings <a href="ref/CHAP054.htm#SECT001">R 54.1</a> <dt>GeneratingSetIsComplete <a href="new/CHAP005.htm#">N 5.0</a> <dt>generator, of the prime residue group <a href="ref/CHAP015.htm#I12">R 15.2</a> <dt>GeneratorsOfAdditiveGroup <a href="ref/CHAP053.htm#SSEC003.4">R 53.3.4</a> <dt>GeneratorsOfAdditiveMagma <a href="ref/CHAP053.htm#SSEC003.2">R 53.3.2</a> <dt>GeneratorsOfAdditiveMagmaWithZero <a href="ref/CHAP053.htm#SSEC003.3">R 53.3.3</a> <dt>GeneratorsOfAlgebra <a href="ref/CHAP060.htm#SSEC008.1">R 60.8.1</a> <dt>GeneratorsOfAlgebraModule <a href="ref/CHAP060.htm#SSEC010.7">R 60.10.7</a> <dt>GeneratorsOfAlgebraWithOne <a href="ref/CHAP060.htm#SSEC008.2">R 60.8.2</a> <dt>GeneratorsOfDivisionRing <a href="ref/CHAP056.htm#SSEC001.6">R 56.1.6</a> <dt>GeneratorsOfDomain <a href="ref/CHAP030.htm#SSEC009.2">R 30.9.2</a> <dt>GeneratorsOfEquivalenceRelationPartition <a href="ref/CHAP032.htm#SSEC006.2">R 32.6.2</a> <dt>GeneratorsOfField <a href="ref/CHAP056.htm#SSEC001.7">R 56.1.7</a> <dt>GeneratorsOfGroup <a href="ref/CHAP037.htm#SSEC002.3">R 37.2.3</a> <dt>GeneratorsOfIdeal <a href="ref/CHAP054.htm#SSEC002.7">R 54.2.7</a> <dt>GeneratorsOfLeftIdeal <a href="ref/CHAP054.htm#SSEC002.8">R 54.2.8</a> <dt>GeneratorsOfLeftModule <a href="ref/CHAP055.htm#SSEC001.4">R 55.1.4</a> <dt>GeneratorsOfLeftOperatorAdditiveGroup <a href="ref/CHAP055.htm#SSEC001.3">R 55.1.3</a> <dt>GeneratorsOfLeftVectorSpace <a href="ref/CHAP059.htm#SSEC002.1">R 59.2.1</a> <dt>GeneratorsOfMagma <a href="ref/CHAP033.htm#SSEC004.1">R 33.4.1</a> <dt>GeneratorsOfMagmaWithInverses <a href="ref/CHAP033.htm#SSEC004.3">R 33.4.3</a> <dt>GeneratorsOfMagmaWithOne <a href="ref/CHAP033.htm#SSEC004.2">R 33.4.2</a> <dt>GeneratorsOfMonoid <a href="ref/CHAP050.htm#">R 50.0</a> <dt>GeneratorsOfNearAdditiveGroup <a href="ref/CHAP053.htm#SSEC003.4">R 53.3.4</a> <dt>GeneratorsOfNearAdditiveMagma <a href="ref/CHAP053.htm#SSEC003.2">R 53.3.2</a> <dt>GeneratorsOfNearAdditiveMagmaWithZero <a href="ref/CHAP053.htm#SSEC003.3">R 53.3.3</a> <dt>GeneratorsOfPresentation <a href="ref/CHAP046.htm#SSEC001.3">R 46.1.3</a> <dt>GeneratorsOfRightIdeal <a href="ref/CHAP054.htm#SSEC002.9">R 54.2.9</a> <dt>GeneratorsOfRightModule <a href="ref/CHAP055.htm#SSEC001.9">R 55.1.9</a> <dt>GeneratorsOfRightOperatorAdditiveGroup <a href="ref/CHAP055.htm#SSEC001.8">R 55.1.8</a> <dt>GeneratorsOfRing <a href="ref/CHAP054.htm#SSEC001.6">R 54.1.6</a> <dt>GeneratorsOfRingWithOne <a href="ref/CHAP054.htm#SSEC003.4">R 54.3.4</a> <dt>GeneratorsOfRws <a href="ref/CHAP036.htm#SSEC001.12">R 36.1.12</a> <dt>GeneratorsOfSemigroup <a href="ref/CHAP049.htm#">R 49.0</a> <dt>GeneratorsOfSomething <a href="tut/CHAP007.htm#I0">T 7.3</a> <dt>GeneratorsOfStruct <a href="ref/CHAP030.htm#SSEC003.3">R 30.3.3</a> <dt>GeneratorsOfTwoSidedIdeal <a href="ref/CHAP054.htm#SSEC002.7">R 54.2.7</a> <dt>GeneratorsOfVectorSpace <a href="ref/CHAP059.htm#SSEC002.1">R 59.2.1</a> <dt>GeneratorsPrimeResidues <a href="ref/CHAP015.htm#SSEC001.4">R 15.1.4</a> <dt>GeneratorsSmallest <a href="ref/CHAP037.htm#SSEC022.1">R 37.22.1</a> <dt>GeneratorsSubgroupsTom <a href="ref/CHAP068.htm#SSEC011.1">R 68.11.1</a> <dt>GeneratorSyllable <a href="ref/CHAP035.htm#SSEC005.3">R 35.5.3</a> <dt>Generic Construction of Tables of Marks <a href="ref/CHAP068.htm#SECT013">R 68.13</a> <dt>Get the Archives <a href="ref/CHAP073.htm#SECT002">R 73.2</a> <dt>GetFusionMap <a href="ref/CHAP071.htm#SSEC002.3">R 71.2.3</a> <dt>GetHashEntry <a href="new/CHAP002.htm#SSEC003.3">N 2.3.3</a> <dt>GetHashEntryAtLastIndex <a href="new/CHAP002.htm#SSEC007.1">N 2.7.1</a> <dt>GetHashEntryIndex <a href="new/CHAP002.htm#SSEC006.2">N 2.6.2</a> <dt>getter, of an attribute <a href="tut/CHAP008.htm#I0">T 8.1</a> <dt>getting help <a href="ref/CHAP002.htm#SSEC001.1">R 2.1.1</a> <dt>GF <a href="ref/CHAP057.htm#SSEC003.1">R 57.3.1</a> <dt>GL <a href="ref/CHAP048.htm#SSEC002.1">R 48.2.1</a> <dt>GL and SL <a href="ref/CHAP042.htm#SECT003">R 42.3</a> <dt>Global Memory Information <a href="ref/CHAP007.htm#SECT011">R 7.11</a> <dt>Global Variables in the Library <a href="prg/CHAP003.htm#SECT017">P 3.17</a> <dt>GlobalMersenneTwister <a href="ref/CHAP014.htm#SSEC005.4">R 14.5.4</a> <dt>GlobalRandomSource <a href="ref/CHAP014.htm#SSEC005.4">R 14.5.4</a> <dt>GModuleByMats <a href="ref/CHAP067.htm#SSEC001.1">R 67.1.1</a> <dt>GO <a href="ref/CHAP048.htm#SSEC002.6">R 48.2.6</a> <dt>GQuotients <a href="ref/CHAP038.htm#SSEC009.2">R 38.9.2</a> <dt>Grading <a href="ref/CHAP060.htm#SSEC008.20">R 60.8.20</a> <dt>Green's Relations <a href="ref/CHAP049.htm#SECT005">R 49.5</a> <dt>GreensDClasses <a href="ref/CHAP049.htm#SSEC005.9">R 49.5.9</a> <dt>GreensDClassOfElement <a href="ref/CHAP049.htm#SSEC005.8">R 49.5.8</a> <dt>GreensDRelation <a href="ref/CHAP049.htm#SSEC005.1">R 49.5.1</a> <dt>GreensHClasses <a href="ref/CHAP049.htm#SSEC005.9">R 49.5.9</a> <dt>GreensHClassOfElement <a href="ref/CHAP049.htm#SSEC005.8">R 49.5.8</a> <dt>GreensHRelation <a href="ref/CHAP049.htm#SSEC005.1">R 49.5.1</a> <dt>GreensJClasses <a href="ref/CHAP049.htm#SSEC005.9">R 49.5.9</a> <dt>GreensJClassOfElement <a href="ref/CHAP049.htm#SSEC005.8">R 49.5.8</a> <dt>GreensJRelation <a href="ref/CHAP049.htm#SSEC005.1">R 49.5.1</a> <dt>GreensLClasses <a href="ref/CHAP049.htm#SSEC005.9">R 49.5.9</a> <dt>GreensLClassOfElement <a href="ref/CHAP049.htm#SSEC005.8">R 49.5.8</a> <dt>GreensLRelation <a href="ref/CHAP049.htm#SSEC005.1">R 49.5.1</a> <dt>GreensRClasses <a href="ref/CHAP049.htm#SSEC005.9">R 49.5.9</a> <dt>GreensRClassOfElement <a href="ref/CHAP049.htm#SSEC005.8">R 49.5.8</a> <dt>GreensRRelation <a href="ref/CHAP049.htm#SSEC005.1">R 49.5.1</a> <dt>Groebner Bases <a href="ref/CHAP064.htm#SECT017">R 64.17</a> <dt>GroebnerBasis <a href="ref/CHAP064.htm#SSEC017.1">R 64.17.1</a> <dt>GroebnerBasisNC <a href="ref/CHAP064.htm#SSEC017.1">R 64.17.1</a> <dt>Group <a href="ref/CHAP037.htm#SSEC002.1">R 37.2.1</a> <dt>Group Actions <a href="ref/CHAP039.htm">R 39.0</a> <dt>group actions, operations syntax <a href="ref/CHAP039.htm#I2">R 39.1</a> <dt>Group Actions - Name Changes <a href="ref/CHAP075.htm#SECT001">R 75.1</a> <dt>group actions <a href="ref/CHAP039.htm#I0">R 39.0</a> <a href="ref/CHAP039.htm#I3">R 39.2</a> <dt>group algebra <a href="ref/CHAP063.htm#I0">R 63.0</a> <dt>Group Automorphisms <a href="ref/CHAP038.htm#SECT006">R 38.6</a> <dt>group characters <a href="ref/CHAP070.htm#I1">R 70.0</a> <dt>Group Elements <a href="ref/CHAP037.htm#SECT001">R 37.1</a> <dt>group general mapping <a href="tut/CHAP005.htm#I7">T 5.4</a> <dt>group general mapping, single-valued <a href="tut/CHAP005.htm#I11">T 5.4</a> <dt>group general mapping, total <a href="tut/CHAP005.htm#I12">T 5.4</a> <dt>Group Homomorphisms <a href="ref/CHAP038.htm">R 38.0</a> <dt>Group Homomorphisms, by Images <a href="tut/CHAP005.htm#SECT004">T 5.4</a> <dt>Group Libraries <a href="ref/CHAP048.htm">R 48.0</a> <dt>group operations <a href="ref/CHAP039.htm#I5">R 39.2</a> <a href="ref/CHAP075.htm#I3">R 75.1</a> <dt>Group Products <a href="ref/CHAP047.htm">R 47.0</a> <dt>Group Properties <a href="ref/CHAP037.htm#SECT015">R 37.15</a> <dt>group ring <a href="ref/CHAP063.htm#I1">R 63.0</a> <dt>GroupByRws <a href="ref/CHAP044.htm#SSEC004.6">R 44.4.6</a> <dt>GroupByRwsNC <a href="ref/CHAP044.htm#SSEC004.6">R 44.4.6</a> <dt>GroupGeneralMappingByImages <a href="ref/CHAP038.htm#SSEC001.3">R 38.1.3</a> <dt>GroupHClassOfGreensDClass <a href="ref/CHAP049.htm#SSEC005.10">R 49.5.10</a> <dt>GroupHomomorphismByFunction <a href="ref/CHAP038.htm#SSEC001.4">R 38.1.4</a> <dt>GroupHomomorphismByImages <a href="ref/CHAP038.htm#SSEC001.1">R 38.1.1</a> <dt>GroupHomomorphismByImages vs. GroupGeneralMappingByImages <a href="tut/CHAP005.htm#I10">T 5.4</a> <dt>GroupHomomorphismByImagesNC <a href="ref/CHAP038.htm#SSEC001.2">R 38.1.2</a> <dt>GroupOfPcgs <a href="ref/CHAP043.htm#SSEC004.5">R 43.4.5</a> <dt>GroupRing <a href="ref/CHAP063.htm#SSEC001.2">R 63.1.2</a> <dt>Groups <a href="ref/CHAP037.htm">R 37.0</a> <dt>Groups and Homomorphisms <a href="tut/CHAP005.htm">T 5.0</a> <dt>Groups of Automorphisms <a href="ref/CHAP038.htm#SECT007">R 38.7</a> <dt>GroupStabChain <a href="ref/CHAP041.htm#SSEC009.5">R 41.9.5</a> <dt>GroupWithGenerators <a href="ref/CHAP037.htm#SSEC002.2">R 37.2.2</a> <dt>GU <a href="ref/CHAP048.htm#SSEC002.3">R 48.2.3</a> </dl><p> [<a href="../index.html">Top</a>] [<a href="chapters.htm">Up</a>] <p><P> <address>GAP 4 manual<br></address> </body></html>
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