<html><head><title>The GAP 4 Reference Manual - Index T</title></head> <body text="#000000" bgcolor="#ffffff"> <h1>The <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 Reference Manual - 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> <dt>t_N <a href="CHAP018.htm#I21">18.4</a> <dt>table automorphisms <a href="CHAP071.htm#I5">71.2</a> <a href="CHAP071.htm#I14">71.5</a> <dt>table of chapters for help books <a href="CHAP002.htm#SSEC002.5">2.2.5</a> <dt>Table of Marks Objects in GAP <a href="CHAP068.htm#SECT002">68.2</a> <dt>table of sections for help books <a href="CHAP002.htm#SSEC002.5">2.2.5</a> <dt>TableAutomorphisms <a href="CHAP069.htm#SSEC020.2">69.20.2</a> <dt>TableOfMarks <a href="CHAP068.htm#SSEC003.1">68.3.1</a> <dt>TableOfMarksByLattice <a href="CHAP068.htm#SSEC003.2">68.3.2</a> <dt>TableOfMarksComponents <a href="CHAP068.htm#SSEC006.4">68.6.4</a> <dt>TableOfMarksCyclic <a href="CHAP068.htm#SSEC013.1">68.13.1</a> <dt>TableOfMarksDihedral <a href="CHAP068.htm#SSEC013.2">68.13.2</a> <dt>TableOfMarksFamily <a href="CHAP068.htm#SSEC006.3">68.6.3</a> <dt>TableOfMarksFrobenius <a href="CHAP068.htm#SSEC013.3">68.13.3</a> <dt>tables <a href="CHAP069.htm#I0">69.0</a> <a href="CHAP069.htm#I1">69.3</a> <dt>Tables of Marks <a href="CHAP068.htm">68.0</a> <dt>tabulator <a href="CHAP004.htm#I2">4.4</a> <dt>Tau <a href="CHAP015.htm#SSEC004.2">15.4.2</a> <dt>Technical Details about Tables of Marks <a href="CHAP068.htm#SECT006">68.6</a> <dt>Technical Details about the Implementation of Magma Rings <a href="CHAP063.htm#SECT006">63.6</a> <dt>Technical Matters Concerning General Mappings <a href="CHAP031.htm#SECT013">31.13</a> <dt>TemporaryGlobalVarName <a href="CHAP004.htm#SSEC009.11">4.9.11</a> <dt>Tensor Products and Exterior and Symmetric Powers <a href="CHAP061.htm#SECT014">61.14</a> <dt>Tensored <a href="CHAP070.htm#SSEC008.20">70.8.20</a> <dt>TensorProductGModule <a href="CHAP067.htm#SSEC002.2">67.2.2</a> <dt>TensorProductOfAlgebraModules <a href="CHAP061.htm#SSEC014.1">61.14.1</a> <dt>Test Files <a href="CHAP007.htm#SECT009">7.9</a> <dt>Test of the installation <a href="CHAP073.htm#SECT005">73.5</a> <dt>test, for a primitive root <a href="CHAP015.htm#I13">15.2</a> <dt>test, for a rational <a href="CHAP016.htm#I0">16.1</a> <dt>test, for records <a href="CHAP027.htm#I1">27.0</a> <dt>test, for set equality <a href="CHAP021.htm#I20">21.19</a> <dt>TestConsistencyMaps <a href="CHAP071.htm#SSEC003.12">71.3.12</a> <dt>Tester <a href="CHAP013.htm#SSEC006.1">13.6.1</a> <dt>tester <a href="CHAP013.htm#I2">13.6</a> <dt>TestHomogeneous <a href="CHAP072.htm#SSEC002.1">72.2.1</a> <dt>TestInducedFromNormalSubgroup <a href="CHAP072.htm#SSEC002.4">72.2.4</a> <dt>Testing Finiteness of Finitely Presented Groups <a href="CHAP045.htm#SECT015">45.15</a> <dt>Testing for the System Architecture <a href="CHAP003.htm#SECT006">3.6</a> <dt>Testing Monomiality <a href="CHAP072.htm#SECT003">72.3</a> <dt>TestJacobi <a href="CHAP060.htm#SSEC003.4">60.3.4</a> <dt>TestMonomial <a href="CHAP072.htm#SSEC003.1">72.3.1</a> <dt>TestMonomialQuick <a href="CHAP072.htm#SSEC003.4">72.3.4</a> <dt>TestMonomialUseLattice <a href="CHAP072.htm#SSEC003.2">72.3.2</a> <dt>TestPackageAvailability <a href="CHAP074.htm#SSEC003.2">74.3.2</a> <dt>TestPerm1 <a href="CHAP070.htm#SSEC014.2">70.14.2</a> <dt>TestPerm2 <a href="CHAP070.htm#SSEC014.2">70.14.2</a> <dt>TestPerm3 <a href="CHAP070.htm#SSEC014.2">70.14.2</a> <dt>TestPerm4 <a href="CHAP070.htm#SSEC014.2">70.14.2</a> <dt>TestPerm5 <a href="CHAP070.htm#SSEC014.2">70.14.2</a> <dt>TestQuasiPrimitive <a href="CHAP072.htm#SSEC002.3">72.2.3</a> <dt>TestRelativelySM <a href="CHAP072.htm#SSEC003.6">72.3.6</a> <dt>Tests for Actions <a href="CHAP039.htm#SECT009">39.9</a> <dt>Tests for the Availability of Methods <a href="CHAP037.htm#SECT025">37.25</a> <dt>TestSubnormallyMonomial <a href="CHAP072.htm#SSEC003.5">72.3.5</a> <dt>The .gaprc file <a href="CHAP003.htm#SECT004">3.4</a> <dt>The Adjoint Representation <a href="CHAP061.htm#SECT009">61.9</a> <dt>The Compiler <a href="CHAP003.htm#SECT007">3.7</a> <dt>The Defining Attributes of Rational Functions <a href="CHAP064.htm#SECT020">64.20</a> <dt>The Dixon-Schneider Algorithm <a href="CHAP069.htm#SECT014">69.14</a> <dt>The Documentation <a href="CHAP073.htm#SECT008">73.8</a> <dt>The External Representation for Associative Words <a href="CHAP035.htm#SECT007">35.7</a> <dt>The family pcgs <a href="CHAP044.htm#SECT001">44.1</a> <dt>The Help System <a href="CHAP002.htm">2.0</a> <dt>The Interface between Character Tables and Groups <a href="CHAP069.htm#SECT006">69.6</a> <dt>The Interface between Tables of Marks and Character Tables <a href="CHAP068.htm#SECT012">68.12</a> <dt>The Library of Tables of Marks <a href="CHAP068.htm#SECT014">68.14</a> <dt>The MeatAxe <a href="CHAP067.htm">67.0</a> <dt>The Natural Action <a href="CHAP041.htm#SECT001">41.1</a> <dt>The Pager Command <a href="CHAP002.htm#SECT004">2.4</a> <dt>The Permutation Image of an Action <a href="CHAP039.htm#SECT006">39.6</a> <dt>The Programming Language <a href="CHAP004.htm">4.0</a> <dt>The Representations of Rational Functions <a href="CHAP064.htm#SECT019">64.19</a> <dt>The Smash MeatAxe <a href="CHAP067.htm#SECT010">67.10</a> <dt>The Syntax in BNF <a href="CHAP004.htm#SECT024">4.24</a> <dt>then <a href="CHAP004.htm#I32">4.16</a> <dt>ThreeGroup library <a href="CHAP048.htm#I7">48.7</a> <dt>Tietze Options <a href="CHAP046.htm#SECT012">46.12</a> <dt>Tietze Transformations <a href="CHAP046.htm#SECT007">46.7</a> <dt>Tietze Transformations that introduce new Generators <a href="CHAP046.htm#SECT009">46.9</a> <dt>TietzeWordAbstractWord <a href="CHAP046.htm#SSEC004.1">46.4.1</a> <dt>time <a href="CHAP007.htm#SSEC006.3">7.6.3</a> <dt>Timing <a href="CHAP007.htm#SECT006">7.6</a> <dt>Todd-Coxeter Procedure <a href="CHAP051.htm#SECT006">51.6</a> <dt>Trace <a href="CHAP024.htm#SSEC003.3">24.3.3</a> <dt>Trace, for field elements <a href="CHAP056.htm#SSEC003.5">56.3.5</a> <dt>Trace, of a matrix <a href="CHAP024.htm#I0">24.3</a> <dt>TracedCosetFpGroup <a href="CHAP045.htm#SSEC005.2">45.5.2</a> <dt>TraceImmediateMethods <a href="CHAP007.htm#SSEC003.3">7.3.3</a> <dt>TraceMat <a href="CHAP024.htm#SSEC003.3">24.3.3</a> <dt>TraceMethods <a href="CHAP007.htm#SSEC003.1">7.3.1</a> <dt>TracePolynomial <a href="CHAP056.htm#SSEC003.3">56.3.3</a> <dt>Tracing generator images through Tietze transformations <a href="CHAP046.htm#SECT010">46.10</a> <dt>Tracing Methods <a href="CHAP007.htm#SECT003">7.3</a> <dt>TransferDiagram <a href="CHAP071.htm#SSEC003.11">71.3.11</a> <dt>Transformation <a href="CHAP052.htm#">52.0</a> <dt>TransformationData <a href="CHAP052.htm#">52.0</a> <dt>TransformationFamily <a href="CHAP052.htm#">52.0</a> <dt>TransformationNC <a href="CHAP052.htm#">52.0</a> <dt>TransformationRelation <a href="CHAP052.htm#">52.0</a> <dt>Transformations <a href="CHAP052.htm">52.0</a> <dt>TransformationType <a href="CHAP052.htm#">52.0</a> <dt>TransformingPermutations <a href="CHAP069.htm#SSEC020.3">69.20.3</a> <dt>TransformingPermutationsCharacterTables <a href="CHAP069.htm#SSEC020.4">69.20.4</a> <dt>transitive <a href="CHAP039.htm#I15">39.9</a> <dt>Transitive Permutation Groups <a href="CHAP048.htm#SECT006">48.6</a> <dt>transitive relation <a href="CHAP032.htm#I5">32.2</a> <dt>TransitiveClosureBinaryRelation <a href="CHAP032.htm#SSEC004.3">32.4.3</a> <dt>TransitiveGroup <a href="CHAP048.htm#SSEC006.1">48.6.1</a> <dt>TransitiveIdentification <a href="CHAP048.htm#SSEC006.3">48.6.3</a> <dt>Transitivity, for characters <a href="CHAP070.htm#SSEC008.16">70.8.16</a> <dt>Transitivity, for class functions <a href="CHAP070.htm#I29">70.8</a> <dt>Transitivity, for group actions <a href="CHAP039.htm#SSEC009.2">39.9.2</a> <dt>TranslatorSubalgebra <a href="CHAP060.htm#SSEC010.24">60.10.24</a> <dt>transporter <a href="CHAP039.htm#I13">39.5</a> <dt>TransposedMat <a href="CHAP024.htm#SSEC004.6">24.4.6</a> <dt>TransposedMatAttr <a href="CHAP024.htm#SSEC004.6">24.4.6</a> <dt>TransposedMatDestructive <a href="CHAP024.htm#SSEC004.7">24.4.7</a> <dt>TransposedMatImmutable <a href="CHAP024.htm#SSEC004.6">24.4.6</a> <dt>TransposedMatMutable <a href="CHAP024.htm#SSEC004.6">24.4.6</a> <dt>TransposedMatOp <a href="CHAP024.htm#SSEC004.6">24.4.6</a> <dt>TransposedMatrixGroup <a href="CHAP042.htm#SSEC001.4">42.1.4</a> <dt>Transversals <a href="CHAP037.htm#SECT008">37.8</a> <dt>Triangular Matrices <a href="CHAP024.htm#SECT011">24.11</a> <dt>TriangulizedIntegerMat <a href="CHAP025.htm#SSEC002.1">25.2.1</a> <dt>TriangulizedIntegerMatTransform <a href="CHAP025.htm#SSEC002.2">25.2.2</a> <dt>TriangulizedNullspaceMat <a href="CHAP024.htm#SSEC006.3">24.6.3</a> <dt>TriangulizedNullspaceMatDestructive <a href="CHAP024.htm#SSEC006.4">24.6.4</a> <dt>TriangulizeIntegerMat <a href="CHAP025.htm#SSEC002.3">25.2.3</a> <dt>TriangulizeMat <a href="CHAP024.htm#SSEC006.2">24.6.2</a> <dt>TrivialCharacter <a href="CHAP070.htm#SSEC007.1">70.7.1</a> <dt>TrivialGroup <a href="CHAP048.htm#SSEC001.1">48.1.1</a> <dt>TrivialIterator <a href="CHAP028.htm#SSEC007.7">28.7.7</a> <dt>TrivialSubalgebra <a href="CHAP060.htm#SSEC005.5">60.5.5</a> <dt>TrivialSubgroup <a href="CHAP037.htm#SSEC012.1">37.12.1</a> <dt>TrivialSubmagmaWithOne <a href="CHAP033.htm#SSEC004.14">33.4.14</a> <dt>TrivialSubmodule <a href="CHAP055.htm#SSEC002.4">55.2.4</a> <dt>TrivialSubmonoid <a href="CHAP050.htm#">50.0</a> <dt>TrivialSubnearAdditiveMagmaWithZero <a href="CHAP053.htm#SSEC003.6">53.3.6</a> <dt>TrivialSubspace <a href="CHAP059.htm#SSEC002.2">59.2.2</a> <dt>TryCosetTableInWholeGroup <a href="CHAP045.htm#SSEC007.1">45.7.1</a> <dt>TryGcdCancelExtRepPolynomials <a href="CHAP064.htm#SSEC023.2">64.23.2</a> <dt>tuple stabilizer <a href="CHAP039.htm#I12">39.4</a> <dt>Tuples <a href="CHAP017.htm#SSEC002.7">17.2.7</a> <dt>TwoClosure <a href="CHAP041.htm#SSEC011.3">41.11.3</a> <dt>TwoCoboundaries <a href="CHAP044.htm#SSEC008.1">44.8.1</a> <dt>TwoCocycles <a href="CHAP044.htm#SSEC008.2">44.8.2</a> <dt>TwoCohomology <a href="CHAP044.htm#SSEC008.3">44.8.3</a> <dt>TwoGroup library <a href="CHAP048.htm#I6">48.7</a> <dt>TwoSidedIdeal <a href="CHAP054.htm#SSEC002.1">54.2.1</a> <dt>TwoSidedIdealByGenerators <a href="CHAP054.htm#SSEC002.4">54.2.4</a> <dt>TwoSidedIdealNC <a href="CHAP054.htm#SSEC002.2">54.2.2</a> <dt>TwoSquares <a href="CHAP015.htm#SSEC006.1">15.6.1</a> <dt>type, boolean <a href="CHAP020.htm#I0">20.0</a> <dt>type, cyclotomic <a href="CHAP018.htm#I0">18.0</a> <dt>type, records <a href="CHAP027.htm#I0">27.0</a> <dt>type, strings <a href="CHAP026.htm#I0">26.0</a> <dt>TypeObj <a href="CHAP013.htm#SSEC009.1">13.9.1</a> <dt>TypeOfDefaultGeneralMapping <a href="CHAP031.htm#SSEC013.7">31.13.7</a> <dt>Types <a href="CHAP013.htm#SECT009">13.9</a> <dt>Types of Objects <a href="CHAP013.htm">13.0</a> <dt>TzEliminate <a href="CHAP046.htm#SSEC008.1">46.8.1</a> <dt>TzFindCyclicJoins <a href="CHAP046.htm#SSEC008.4">46.8.4</a> <dt>TzGo <a href="CHAP046.htm#SSEC007.1">46.7.1</a> <dt>TzGoGo <a href="CHAP046.htm#SSEC007.3">46.7.3</a> <dt>TzImagesOldGens <a href="CHAP046.htm#SSEC010.3">46.10.3</a> <dt>TzInitGeneratorImages <a href="CHAP046.htm#SSEC010.1">46.10.1</a> <dt>TzNewGenerator <a href="CHAP046.htm#SSEC006.2">46.6.2</a> <dt>TzOptions <a href="CHAP046.htm#SSEC012.1">46.12.1</a> <dt>TzPreImagesNewGens <a href="CHAP046.htm#SSEC010.4">46.10.4</a> <dt>TzPrint <a href="CHAP046.htm#SSEC005.6">46.5.6</a> <dt>TzPrintGeneratorImages <a href="CHAP046.htm#SSEC010.5">46.10.5</a> <dt>TzPrintGenerators <a href="CHAP046.htm#SSEC005.1">46.5.1</a> <dt>TzPrintLengths <a href="CHAP046.htm#SSEC005.3">46.5.3</a> <dt>TzPrintOptions <a href="CHAP046.htm#SSEC012.2">46.12.2</a> <dt>TzPrintPairs <a href="CHAP046.htm#SSEC005.7">46.5.7</a> <dt>TzPrintPresentation <a href="CHAP046.htm#SSEC005.5">46.5.5</a> <dt>TzPrintRelators <a href="CHAP046.htm#SSEC005.2">46.5.2</a> <dt>TzPrintStatus <a href="CHAP046.htm#SSEC005.4">46.5.4</a> <dt>TzSearch <a href="CHAP046.htm#SSEC008.2">46.8.2</a> <dt>TzSearchEqual <a href="CHAP046.htm#SSEC008.3">46.8.3</a> <dt>TzSort <a href="CHAP046.htm#SSEC001.2">46.1.2</a> <dt>TzSubstitute <a href="CHAP046.htm#SSEC009.1">46.9.1</a> <dt>TzSubstituteCyclicJoins <a href="CHAP046.htm#SSEC009.2">46.9.2</a> </dl><p> [<a href="../index.htm">Top</a>] [<a href="chapters.htm">Up</a>]<p> <P> <font face="Gill Sans,Helvetica,Arial">GAP 4 manual<br>December 2008 </font></body></html>
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