<html><head><title>The GAP 4 Manual - Full Index T</title></head> <body bgcolor="ffffff"><h1>The GAP 4 Manual - Full Index T</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>t_N <a href="ref/CHAP018.htm#I21">R 18.4</a> <dt>table automorphisms <a href="ref/CHAP071.htm#I5">R 71.2</a> <a href="ref/CHAP071.htm#I14">R 71.5</a> <dt>table of chapters for help books <a href="ref/CHAP002.htm#SSEC002.5">R 2.2.5</a> <dt>Table of Marks Objects in GAP <a href="ref/CHAP068.htm#SECT002">R 68.2</a> <dt>table of sections for help books <a href="ref/CHAP002.htm#SSEC002.5">R 2.2.5</a> <dt>TableAutomorphisms <a href="ref/CHAP069.htm#SSEC020.2">R 69.20.2</a> <dt>TableHasIntKeyFun <a href="new/CHAP002.htm#SSEC004.1">N 2.4.1</a> <dt>TableOfMarks <a href="ref/CHAP068.htm#SSEC003.1">R 68.3.1</a> <dt>TableOfMarksByLattice <a href="ref/CHAP068.htm#SSEC003.2">R 68.3.2</a> <dt>TableOfMarksComponents <a href="ref/CHAP068.htm#SSEC006.4">R 68.6.4</a> <dt>TableOfMarksCyclic <a href="ref/CHAP068.htm#SSEC013.1">R 68.13.1</a> <dt>TableOfMarksDihedral <a href="ref/CHAP068.htm#SSEC013.2">R 68.13.2</a> <dt>TableOfMarksFamily <a href="ref/CHAP068.htm#SSEC006.3">R 68.6.3</a> <dt>TableOfMarksFrobenius <a href="ref/CHAP068.htm#SSEC013.3">R 68.13.3</a> <dt>tables <a href="ext/CHAP002.htm#I75">E 2.8</a> <dt>Tables, Displayed Mathematics and Mathematics Alignments <a href="ext/CHAP002.htm#SECT008">E 2.8</a> <dt>tables <a href="ref/CHAP069.htm#I0">R 69.0</a> <a href="ref/CHAP069.htm#I1">R 69.3</a> <dt>Tables of Marks <a href="ref/CHAP068.htm">R 68.0</a> <dt>tabulator <a href="ref/CHAP004.htm#I2">R 4.4</a> <dt>Tau <a href="ref/CHAP015.htm#SSEC004.2">R 15.4.2</a> <dt>Technical Details about Tables of Marks <a href="ref/CHAP068.htm#SECT006">R 68.6</a> <dt>Technical Details about the Implementation of Magma Rings <a href="ref/CHAP063.htm#SECT006">R 63.6</a> <dt>Technical Matters Concerning General Mappings <a href="ref/CHAP031.htm#SECT013">R 31.13</a> <dt>TemporaryGlobalVarName <a href="ref/CHAP004.htm#SSEC009.11">R 4.9.11</a> <dt>Tensor Products and Exterior and Symmetric Powers <a href="ref/CHAP061.htm#SECT014">R 61.14</a> <dt>Tensored <a href="ref/CHAP070.htm#SSEC008.20">R 70.8.20</a> <dt>TensorProductGModule <a href="ref/CHAP067.htm#SSEC002.2">R 67.2.2</a> <dt>TensorProductOfAlgebraModules <a href="ref/CHAP061.htm#SSEC014.1">R 61.14.1</a> <dt>test, for a primitive root <a href="ref/CHAP015.htm#I13">R 15.2</a> <dt>test, for a rational <a href="ref/CHAP016.htm#I0">R 16.1</a> <dt>test, for records <a href="ref/CHAP027.htm#I1">R 27.0</a> <dt>test, for set equality <a href="ref/CHAP021.htm#I20">R 21.19</a> <dt>Test Files <a href="ref/CHAP007.htm#SECT009">R 7.9</a> <dt>Test for the Existence of GAP Package Binaries <a href="ext/CHAP004.htm#SECT010">E 4.10</a> <dt>Test of the installation <a href="ref/CHAP073.htm#SECT005">R 73.5</a> <dt>TestConsistencyMaps <a href="ref/CHAP071.htm#SSEC003.12">R 71.3.12</a> <dt>Tester <a href="ref/CHAP013.htm#SSEC006.1">R 13.6.1</a> <dt>tester <a href="ref/CHAP013.htm#I2">R 13.6</a> <dt>tester, of an attribute <a href="tut/CHAP008.htm#I2">T 8.1</a> <dt>TestHomogeneous <a href="ref/CHAP072.htm#SSEC002.1">R 72.2.1</a> <dt>TestInducedFromNormalSubgroup <a href="ref/CHAP072.htm#SSEC002.4">R 72.2.4</a> <dt>Testing Finiteness of Finitely Presented Groups <a href="ref/CHAP045.htm#SECT015">R 45.15</a> <dt>Testing for the System Architecture <a href="ref/CHAP003.htm#SECT006">R 3.6</a> <dt>Testing Monomiality <a href="ref/CHAP072.htm#SECT003">R 72.3</a> <dt>Testing the Examples <a href="ext/CHAP002.htm#SECT009">E 2.9</a> <dt>TestJacobi <a href="ref/CHAP060.htm#SSEC003.4">R 60.3.4</a> <dt>TestMonomial <a href="ref/CHAP072.htm#SSEC003.1">R 72.3.1</a> <dt>TestMonomialQuick <a href="ref/CHAP072.htm#SSEC003.4">R 72.3.4</a> <dt>TestMonomialUseLattice <a href="ref/CHAP072.htm#SSEC003.2">R 72.3.2</a> <dt>TestPackageAvailability <a href="ref/CHAP074.htm#SSEC003.2">R 74.3.2</a> <dt>TestPerm1 <a href="ref/CHAP070.htm#SSEC014.2">R 70.14.2</a> <dt>TestPerm2 <a href="ref/CHAP070.htm#SSEC014.2">R 70.14.2</a> <dt>TestPerm3 <a href="ref/CHAP070.htm#SSEC014.2">R 70.14.2</a> <dt>TestPerm4 <a href="ref/CHAP070.htm#SSEC014.2">R 70.14.2</a> <dt>TestPerm5 <a href="ref/CHAP070.htm#SSEC014.2">R 70.14.2</a> <dt>TestQuasiPrimitive <a href="ref/CHAP072.htm#SSEC002.3">R 72.2.3</a> <dt>TestRelativelySM <a href="ref/CHAP072.htm#SSEC003.6">R 72.3.6</a> <dt>Tests for Actions <a href="ref/CHAP039.htm#SECT009">R 39.9</a> <dt>Tests for the Availability of Methods <a href="ref/CHAP037.htm#SECT025">R 37.25</a> <dt>TestSubnormallyMonomial <a href="ref/CHAP072.htm#SSEC003.5">R 72.3.5</a> <dt>TeX Macros <a href="ext/CHAP002.htm#SECT005">E 2.5</a> <dt>TeX Macros for Domains <a href="ext/CHAP002.htm#SECT006">E 2.6</a> <dt>The .gaprc file <a href="ref/CHAP003.htm#SECT004">R 3.4</a> <dt>The Adjoint Representation <a href="ref/CHAP061.htm#SECT009">R 61.9</a> <dt>The Compiler <a href="ref/CHAP003.htm#SECT007">R 3.7</a> <dt>The Defining Attributes of Rational Functions <a href="ref/CHAP064.htm#SECT020">R 64.20</a> <dt>The Dixon-Schneider Algorithm <a href="ref/CHAP069.htm#SECT014">R 69.14</a> <dt>The Documentation <a href="ref/CHAP073.htm#SECT008">R 73.8</a> <dt>The External Representation for Associative Words <a href="ref/CHAP035.htm#SECT007">R 35.7</a> <dt>The family pcgs <a href="ref/CHAP044.htm#SECT001">R 44.1</a> <dt>The Files of a GAP Package <a href="ext/CHAP004.htm#SECT001">E 4.1</a> <dt>The GAP System <a href="tut/CHAP001.htm#SECT001">T 1.1</a> <dt>The gapmacro.tex Manual Format <a href="ext/CHAP002.htm">E 2.0</a> <dt>The GASMAN Interface for Weak Pointer Objects <a href="ext/CHAP007.htm#SECT006">E 7.6</a> <dt>The General Backtrack Algorithm with Ordered Partitions <a href="ext/CHAP008.htm#SECT002">E 8.2</a> <dt>The Help Book Handler <a href="ext/CHAP005.htm#SECT003">E 5.3</a> <dt>The Help System <a href="ref/CHAP002.htm">R 2.0</a> <dt>The Info Mechanism <a href="tut/CHAP009.htm#SECT018">T 9.18</a> <dt>The Interface between Character Tables and Groups <a href="ref/CHAP069.htm#SECT006">R 69.6</a> <dt>The Interface between Tables of Marks and Character Tables <a href="ref/CHAP068.htm#SECT012">R 68.12</a> <dt>The Library of Tables of Marks <a href="ref/CHAP068.htm#SECT014">R 68.14</a> <dt>The Main File <a href="ext/CHAP002.htm#SECT001">E 2.1</a> <dt>The manual.six File <a href="ext/CHAP005.htm#SECT002">E 5.2</a> <dt>The MeatAxe <a href="ref/CHAP067.htm">R 67.0</a> <dt>The Natural Action <a href="ref/CHAP041.htm#SECT001">R 41.1</a> <dt>The PackageInfo.g File <a href="ext/CHAP004.htm#SECT005">E 4.5</a> <dt>The Pager Command <a href="ref/CHAP002.htm#SECT004">R 2.4</a> <dt>The Permutation Image of an Action <a href="ref/CHAP039.htm#SECT006">R 39.6</a> <dt>The Programming Language <a href="ref/CHAP004.htm">R 4.0</a> <dt>The Read Evaluate Print Loop <a href="tut/CHAP002.htm#SECT003">T 2.3</a> <dt>The Representations of Rational Functions <a href="ref/CHAP064.htm#SECT019">R 64.19</a> <dt>The Smash MeatAxe <a href="ref/CHAP067.htm#SECT010">R 67.10</a> <dt>The Syntax in BNF <a href="ref/CHAP004.htm#SECT024">R 4.24</a> <dt>The WWW Homepage of a Package <a href="ext/CHAP004.htm#SECT004">E 4.4</a> <dt>then <a href="ref/CHAP004.htm#I32">R 4.16</a> <dt>ThreeGroup library <a href="ref/CHAP048.htm#I7">R 48.7</a> <dt>Tietze Options <a href="ref/CHAP046.htm#SECT012">R 46.12</a> <dt>Tietze Transformations <a href="ref/CHAP046.htm#SECT007">R 46.7</a> <dt>Tietze Transformations that introduce new Generators <a href="ref/CHAP046.htm#SECT009">R 46.9</a> <dt>TietzeWordAbstractWord <a href="ref/CHAP046.htm#SSEC004.1">R 46.4.1</a> <dt>time <a href="ref/CHAP007.htm#SSEC006.3">R 7.6.3</a> <dt>Timing <a href="ref/CHAP007.htm#SECT006">R 7.6</a> <dt>Todd-Coxeter Procedure <a href="ref/CHAP051.htm#SECT006">R 51.6</a> <dt>Trace <a href="ref/CHAP024.htm#SSEC003.3">R 24.3.3</a> <dt>Trace, for field elements <a href="ref/CHAP056.htm#SSEC003.5">R 56.3.5</a> <dt>Trace, of a matrix <a href="ref/CHAP024.htm#I0">R 24.3</a> <dt>TracedCosetFpGroup <a href="ref/CHAP045.htm#SSEC005.2">R 45.5.2</a> <dt>TraceImmediateMethods <a href="ref/CHAP007.htm#SSEC003.3">R 7.3.3</a> <dt>TraceMat <a href="ref/CHAP024.htm#SSEC003.3">R 24.3.3</a> <dt>TraceMethods <a href="ref/CHAP007.htm#SSEC003.1">R 7.3.1</a> <dt>TraceMethods <a href="tut/CHAP008.htm#I14">T 8.4</a> <dt>TracePolynomial <a href="ref/CHAP056.htm#SSEC003.3">R 56.3.3</a> <dt>Tracing generator images through Tietze transformations <a href="ref/CHAP046.htm#SECT010">R 46.10</a> <dt>Tracing Methods <a href="ref/CHAP007.htm#SECT003">R 7.3</a> <dt>TransferDiagram <a href="ref/CHAP071.htm#SSEC003.11">R 71.3.11</a> <dt>Transformation <a href="ref/CHAP052.htm#">R 52.0</a> <dt>TransformationData <a href="ref/CHAP052.htm#">R 52.0</a> <dt>TransformationFamily <a href="ref/CHAP052.htm#">R 52.0</a> <dt>TransformationNC <a href="ref/CHAP052.htm#">R 52.0</a> <dt>TransformationRelation <a href="ref/CHAP052.htm#">R 52.0</a> <dt>Transformations <a href="ref/CHAP052.htm">R 52.0</a> <dt>TransformationType <a href="ref/CHAP052.htm#">R 52.0</a> <dt>TransformingPermutations <a href="ref/CHAP069.htm#SSEC020.3">R 69.20.3</a> <dt>TransformingPermutationsCharacterTables <a href="ref/CHAP069.htm#SSEC020.4">R 69.20.4</a> <dt>transitive <a href="ref/CHAP039.htm#I15">R 39.9</a> <dt>Transitive Permutation Groups <a href="ref/CHAP048.htm#SECT006">R 48.6</a> <dt>transitive relation <a href="ref/CHAP032.htm#I5">R 32.2</a> <dt>TransitiveClosureBinaryRelation <a href="ref/CHAP032.htm#SSEC004.3">R 32.4.3</a> <dt>TransitiveGroup <a href="ref/CHAP048.htm#SSEC006.1">R 48.6.1</a> <dt>TransitiveIdentification <a href="ref/CHAP048.htm#SSEC006.3">R 48.6.3</a> <dt>Transitivity, for characters <a href="ref/CHAP070.htm#SSEC008.16">R 70.8.16</a> <dt>Transitivity, for class functions <a href="ref/CHAP070.htm#I29">R 70.8</a> <dt>Transitivity, for group actions <a href="ref/CHAP039.htm#SSEC009.2">R 39.9.2</a> <dt>TranslatorSubalgebra <a href="ref/CHAP060.htm#SSEC010.24">R 60.10.24</a> <dt>transporter <a href="ref/CHAP039.htm#I13">R 39.5</a> <dt>TransposedMat <a href="ref/CHAP024.htm#SSEC004.6">R 24.4.6</a> <dt>TransposedMatAttr <a href="ref/CHAP024.htm#SSEC004.6">R 24.4.6</a> <dt>TransposedMatDestructive <a href="ref/CHAP024.htm#SSEC004.7">R 24.4.7</a> <dt>TransposedMatImmutable <a href="ref/CHAP024.htm#SSEC004.6">R 24.4.6</a> <dt>TransposedMatMutable <a href="ref/CHAP024.htm#SSEC004.6">R 24.4.6</a> <dt>TransposedMatOp <a href="ref/CHAP024.htm#SSEC004.6">R 24.4.6</a> <dt>TransposedMatrixGroup <a href="ref/CHAP042.htm#SSEC001.4">R 42.1.4</a> <dt>Transversal <a href="new/CHAP005.htm#">N 5.0</a> <dt>TransversalBySiftFunction <a href="new/CHAP004.htm#SSEC006.1">N 4.6.1</a> <dt>TransversalByTrivial <a href="new/CHAP004.htm#SSEC005.1">N 4.5.1</a> <dt>TransversalElt <a href="new/CHAP004.htm#SSEC001.1">N 4.1.1</a> <dt>TransversalOfChainSubgroup <a href="new/CHAP005.htm#">N 5.0</a> <dt>Transversals <a href="ref/CHAP037.htm#SECT008">R 37.8</a> <dt>Transversals by direct products <a href="new/CHAP004.htm#SECT004">N 4.4</a> <dt>Transversals by homomorphic images <a href="new/CHAP004.htm#SECT003">N 4.3</a> <dt>Transversals by Schreier tree <a href="new/CHAP004.htm#SECT002">N 4.2</a> <dt>Transversals by sift functions <a href="new/CHAP004.htm#SECT006">N 4.6</a> <dt>Transversals by Trivial subgroups <a href="new/CHAP004.htm#SECT005">N 4.5</a> <dt>Transversals of subgroups <a href="new/CHAP004.htm">N 4.0</a> <dt>Triangular Matrices <a href="ref/CHAP024.htm#SECT011">R 24.11</a> <dt>TriangulizedIntegerMat <a href="ref/CHAP025.htm#SSEC002.1">R 25.2.1</a> <dt>TriangulizedIntegerMatTransform <a href="ref/CHAP025.htm#SSEC002.2">R 25.2.2</a> <dt>TriangulizedNullspaceMat <a href="ref/CHAP024.htm#SSEC006.3">R 24.6.3</a> <dt>TriangulizedNullspaceMatDestructive <a href="ref/CHAP024.htm#SSEC006.4">R 24.6.4</a> <dt>TriangulizeIntegerMat <a href="ref/CHAP025.htm#SSEC002.3">R 25.2.3</a> <dt>TriangulizeMat <a href="ref/CHAP024.htm#SSEC006.2">R 24.6.2</a> <dt>Trivial chain subgroups and sift function chain subgroups <a href="new/CHAP005.htm#SECT004">N 5.4</a> <dt>TrivialCharacter <a href="ref/CHAP070.htm#SSEC007.1">R 70.7.1</a> <dt>TrivialGroup <a href="ref/CHAP048.htm#SSEC001.1">R 48.1.1</a> <dt>TrivialIterator <a href="ref/CHAP028.htm#SSEC007.7">R 28.7.7</a> <dt>TrivialSubalgebra <a href="ref/CHAP060.htm#SSEC005.5">R 60.5.5</a> <dt>TrivialSubgroup <a href="ref/CHAP037.htm#SSEC012.1">R 37.12.1</a> <dt>TrivialSubmagmaWithOne <a href="ref/CHAP033.htm#SSEC004.14">R 33.4.14</a> <dt>TrivialSubmodule <a href="ref/CHAP055.htm#SSEC002.4">R 55.2.4</a> <dt>TrivialSubmonoid <a href="ref/CHAP050.htm#">R 50.0</a> <dt>TrivialSubnearAdditiveMagmaWithZero <a href="ref/CHAP053.htm#SSEC003.6">R 53.3.6</a> <dt>TrivialSubspace <a href="ref/CHAP059.htm#SSEC002.2">R 59.2.2</a> <dt>TryCosetTableInWholeGroup <a href="ref/CHAP045.htm#SSEC007.1">R 45.7.1</a> <dt>TryGcdCancelExtRepPolynomials <a href="ref/CHAP064.htm#SSEC023.2">R 64.23.2</a> <dt>TryNextMethod <a href="tut/CHAP008.htm#I6">T 8.2</a> <dt>TryNextMethod <a href="prg/CHAP002.htm#SSEC004.1">P 2.4.1</a> <dt>tuple stabilizer <a href="ref/CHAP039.htm#I12">R 39.4</a> <dt>Tuples <a href="ref/CHAP017.htm#SSEC002.7">R 17.2.7</a> <dt>TwoClosure <a href="ref/CHAP041.htm#SSEC011.3">R 41.11.3</a> <dt>TwoCoboundaries <a href="ref/CHAP044.htm#SSEC008.1">R 44.8.1</a> <dt>TwoCocycles <a href="ref/CHAP044.htm#SSEC008.2">R 44.8.2</a> <dt>TwoCohomology <a href="ref/CHAP044.htm#SSEC008.3">R 44.8.3</a> <dt>TwoGroup library <a href="ref/CHAP048.htm#I6">R 48.7</a> <dt>TwoSidedIdeal <a href="ref/CHAP054.htm#SSEC002.1">R 54.2.1</a> <dt>TwoSidedIdealByGenerators <a href="ref/CHAP054.htm#SSEC002.4">R 54.2.4</a> <dt>TwoSidedIdealNC <a href="ref/CHAP054.htm#SSEC002.2">R 54.2.2</a> <dt>TwoSquares <a href="ref/CHAP015.htm#SSEC006.1">R 15.6.1</a> <dt>type, boolean <a href="ref/CHAP020.htm#I0">R 20.0</a> <dt>type, cyclotomic <a href="ref/CHAP018.htm#I0">R 18.0</a> <dt>type, records <a href="ref/CHAP027.htm#I0">R 27.0</a> <dt>type, strings <a href="ref/CHAP026.htm#I0">R 26.0</a> <dt>TypeObj <a href="ref/CHAP013.htm#SSEC009.1">R 13.9.1</a> <dt>TypeOfDefaultGeneralMapping <a href="ref/CHAP031.htm#SSEC013.7">R 31.13.7</a> <dt>Types <a href="ref/CHAP013.htm#SECT009">R 13.9</a> <dt>Types of Objects <a href="ref/CHAP013.htm">R 13.0</a> <dt>TzEliminate <a href="ref/CHAP046.htm#SSEC008.1">R 46.8.1</a> <dt>TzFindCyclicJoins <a href="ref/CHAP046.htm#SSEC008.4">R 46.8.4</a> <dt>TzGo <a href="ref/CHAP046.htm#SSEC007.1">R 46.7.1</a> <dt>TzGoGo <a href="ref/CHAP046.htm#SSEC007.3">R 46.7.3</a> <dt>TzImagesOldGens <a href="ref/CHAP046.htm#SSEC010.3">R 46.10.3</a> <dt>TzInitGeneratorImages <a href="ref/CHAP046.htm#SSEC010.1">R 46.10.1</a> <dt>TzNewGenerator <a href="ref/CHAP046.htm#SSEC006.2">R 46.6.2</a> <dt>TzOptions <a href="ref/CHAP046.htm#SSEC012.1">R 46.12.1</a> <dt>TzPreImagesNewGens <a href="ref/CHAP046.htm#SSEC010.4">R 46.10.4</a> <dt>TzPrint <a href="ref/CHAP046.htm#SSEC005.6">R 46.5.6</a> <dt>TzPrintGeneratorImages <a href="ref/CHAP046.htm#SSEC010.5">R 46.10.5</a> <dt>TzPrintGenerators <a href="ref/CHAP046.htm#SSEC005.1">R 46.5.1</a> <dt>TzPrintLengths <a href="ref/CHAP046.htm#SSEC005.3">R 46.5.3</a> <dt>TzPrintOptions <a href="ref/CHAP046.htm#SSEC012.2">R 46.12.2</a> <dt>TzPrintPairs <a href="ref/CHAP046.htm#SSEC005.7">R 46.5.7</a> <dt>TzPrintPresentation <a href="ref/CHAP046.htm#SSEC005.5">R 46.5.5</a> <dt>TzPrintRelators <a href="ref/CHAP046.htm#SSEC005.2">R 46.5.2</a> <dt>TzPrintStatus <a href="ref/CHAP046.htm#SSEC005.4">R 46.5.4</a> <dt>TzSearch <a href="ref/CHAP046.htm#SSEC008.2">R 46.8.2</a> <dt>TzSearchEqual <a href="ref/CHAP046.htm#SSEC008.3">R 46.8.3</a> <dt>TzSort <a href="ref/CHAP046.htm#SSEC001.2">R 46.1.2</a> <dt>TzSubstitute <a href="ref/CHAP046.htm#SSEC009.1">R 46.9.1</a> <dt>TzSubstituteCyclicJoins <a href="ref/CHAP046.htm#SSEC009.2">R 46.9.2</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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