<html><head><title>The GAP 4 Manual - Full Index A</title></head> <body bgcolor="ffffff"><h1>The GAP 4 Manual - Full Index A</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>A, Attribute mark-up <a href="ext/CHAP002.htm#I43">E 2.5</a> <dt>A First Attempt to Implement Elements of Residue Class Rings <a href="prg/CHAP005.htm#SECT001">P 5.1</a> <dt>A First Session with GAP <a href="tut/CHAP002.htm">T 2.0</a> <dt>A Second Attempt to Implement Elements of Residue Class Rings <a href="prg/CHAP005.htm#SECT003">P 5.3</a> <dt>Abelian Invariants for Subgroups <a href="ref/CHAP045.htm#SECT014">R 45.14</a> <dt>abelian number field <a href="ref/CHAP058.htm#I5">R 58.2</a> <dt>Abelian Number Fields <a href="ref/CHAP058.htm">R 58.0</a> <dt>abelian number fields, CanonicalBasis <a href="ref/CHAP058.htm#I7">R 58.3</a> <dt>abelian number fields, Galois group <a href="ref/CHAP058.htm#I8">R 58.4</a> <dt>AbelianGroup <a href="ref/CHAP048.htm#SSEC001.3">R 48.1.3</a> <dt>AbelianInvariants, for character tables <a href="ref/CHAP069.htm#I11">R 69.8</a> <dt>AbelianInvariants, for groups <a href="ref/CHAP037.htm#SSEC016.1">R 37.16.1</a> <dt>AbelianInvariantsMultiplier <a href="ref/CHAP037.htm#SSEC024.3">R 37.24.3</a> <dt>AbelianInvariantsNormalClosureFpGroup <a href="ref/CHAP045.htm#SSEC014.4">R 45.14.4</a> <dt>AbelianInvariantsNormalClosureFpGroupRrs <a href="ref/CHAP045.htm#SSEC014.5">R 45.14.5</a> <dt>AbelianInvariantsOfList <a href="ref/CHAP025.htm#SSEC002.10">R 25.2.10</a> <dt>AbelianInvariantsSubgroupFpGroup <a href="ref/CHAP045.htm#SSEC014.1">R 45.14.1</a> <dt>AbelianInvariantsSubgroupFpGroupMtc <a href="ref/CHAP045.htm#SSEC014.2">R 45.14.2</a> <dt>AbelianInvariantsSubgroupFpGroupRrs <a href="ref/CHAP045.htm#SSEC014.3">R 45.14.3</a> <dt>AbelianNumberField <a href="ref/CHAP058.htm#SSEC001.2">R 58.1.2</a> <dt>AbelianSubfactorAction <a href="ref/CHAP039.htm#SSEC007.3">R 39.7.3</a> <dt>About Functions <a href="tut/CHAP002.htm#SECT007">T 2.7</a> <dt>About Group Actions <a href="ref/CHAP039.htm#SECT001">R 39.1</a> <dt>About Programming in GAP <a href="prg/CHAP001.htm">P 1.0</a> <dt>About the GAP Reference Manual <a href="ref/CHAP001.htm">R 1.0</a> <dt>About the New Features Manual <a href="new/CHAP001.htm">N 1.0</a> <dt>About: Extending GAP <a href="ext/CHAP001.htm">E 1.0</a> <dt>AbsInt <a href="ref/CHAP014.htm#SSEC001.6">R 14.1.6</a> <dt>absolute value of an integer <a href="ref/CHAP014.htm#I0">R 14.1</a> <dt>AbsoluteIrreducibleModules <a href="ref/CHAP069.htm#SSEC013.2">R 69.13.2</a> <dt>AbsoluteValue <a href="ref/CHAP018.htm#SSEC001.6">R 18.1.6</a> <dt>AbsolutIrreducibleModules <a href="ref/CHAP069.htm#SSEC013.2">R 69.13.2</a> <dt>abstract word <a href="ref/CHAP034.htm#I0">R 34.1</a> <dt>AbstractWordTietzeWord <a href="ref/CHAP046.htm#SSEC004.2">R 46.4.2</a> <dt>accessing, list elements <a href="ref/CHAP021.htm#I0">R 21.3</a> <dt>accessing, record elements <a href="ref/CHAP027.htm#I2">R 27.1</a> <dt>Accessing a Module <a href="ref/CHAP067.htm#SECT004">R 67.4</a> <dt>Accessing Record Elements <a href="ref/CHAP027.htm#SECT001">R 27.1</a> <dt>Accessing Subgroups via Tables of Marks <a href="ref/CHAP068.htm#SECT011">R 68.11</a> <dt>Accessing Weak Pointer Objects as Lists <a href="ext/CHAP007.htm#SECT004">E 7.4</a> <dt>Acknowledgement <a href="tut/CHAP010.htm">T 10.0</a> <dt>Acknowledgements <a href="tut/CHAP001.htm#SECT003">T 1.3</a> <dt>AClosestVectorCombinationsMatFFEVecFFE <a href="ref/CHAP023.htm#SSEC005.5">R 23.5.5</a> <dt>AClosestVectorCombinationsMatFFEVecFFECoords <a href="ref/CHAP023.htm#SSEC005.5">R 23.5.5</a> <dt>Acting OnRight and OnLeft <a href="ref/CHAP042.htm#SECT006">R 42.6</a> <dt>ActingAlgebra <a href="ref/CHAP060.htm#SSEC010.13">R 60.10.13</a> <dt>ActingDomain <a href="ref/CHAP039.htm#SSEC011.3">R 39.11.3</a> <dt>Action <a href="ref/CHAP039.htm#SSEC006.2">R 39.6.2</a> <dt>action, by conjugation <a href="ref/CHAP039.htm#I7">R 39.2</a> <dt>action, on blocks <a href="ref/CHAP039.htm#I9">R 39.2</a> <dt>action, on sets <a href="ref/CHAP039.htm#I8">R 39.2</a> <dt>Action of a group on itself <a href="ref/CHAP039.htm#SECT007">R 39.7</a> <dt>Action on Subfactors Defined by a Pcgs <a href="ref/CHAP043.htm#SECT014">R 43.14</a> <dt>ActionHomomorphism <a href="ref/CHAP039.htm#SSEC006.1">R 39.6.1</a> <dt>actions <a href="ref/CHAP039.htm#I4">R 39.2</a> <dt>Actions of Groups <a href="tut/CHAP005.htm#SECT002">T 5.2</a> <dt>Actions of Matrix Groups <a href="ref/CHAP042.htm#SECT002">R 42.2</a> <dt>ActorOfExternalSet <a href="ref/CHAP039.htm#SSEC011.15">R 39.11.15</a> <dt>Add <a href="ref/CHAP021.htm#SSEC004.4">R 21.4.4</a> <dt>add, an element to a set <a href="ref/CHAP021.htm#I21">R 21.19</a> <dt>AddCoeffs <a href="ref/CHAP023.htm#SSEC003.2">R 23.3.2</a> <dt>AddGenerator <a href="ref/CHAP046.htm#SSEC006.1">R 46.6.1</a> <dt>AddGenerators <a href="ref/CHAP036.htm#SSEC001.13">R 36.1.13</a> <dt>AddGeneratorsExtendSchreierTree <a href="ref/CHAP041.htm#SSEC010.10">R 41.10.10</a> <dt>AddHashEntry <a href="new/CHAP002.htm#SSEC003.4">N 2.3.4</a> <dt>Adding a new Attribute <a href="prg/CHAP004.htm#SECT005">P 4.5</a> <dt>Adding a new Operation <a href="prg/CHAP004.htm#SECT004">P 4.4</a> <dt>Adding a new Representation <a href="prg/CHAP004.htm#SECT006">P 4.6</a> <dt>Adding new Concepts <a href="prg/CHAP004.htm#SECT008">P 4.8</a> <dt>addition <a href="ref/CHAP004.htm#SSEC012.1">R 4.12.1</a> <dt>addition, list and non-list <a href="ref/CHAP021.htm#I8">R 21.13</a> <dt>addition, matrices <a href="ref/CHAP024.htm#SSEC002.1">R 24.2.1</a> <dt>addition, matrix and scalar <a href="ref/CHAP024.htm#SSEC002.2">R 24.2.2</a> <dt>addition, operation <a href="ref/CHAP030.htm#SSEC012.1">R 30.12.1</a> <dt>addition, rational functions <a href="ref/CHAP064.htm#SSEC002.1">R 64.2.1</a> <dt>addition, scalar and matrix <a href="ref/CHAP024.htm#SSEC002.2">R 24.2.2</a> <dt>addition, scalar and matrix list <a href="ref/CHAP024.htm#SSEC002.12">R 24.2.12</a> <dt>addition, scalar and vector <a href="ref/CHAP023.htm#SSEC001.2">R 23.1.2</a> <dt>addition, vector and scalar <a href="ref/CHAP023.htm#SSEC001.2">R 23.1.2</a> <dt>addition, vectors <a href="ref/CHAP023.htm#SSEC001.1">R 23.1.1</a> <dt>Addition of a Method <a href="prg/CHAP004.htm#SECT001">P 4.1</a> <dt>Additive Arithmetic for Lists <a href="ref/CHAP021.htm#SECT013">R 21.13</a> <dt>Additive Magmas <a href="ref/CHAP053.htm">R 53.0</a> <dt>AdditiveInverse <a href="ref/CHAP030.htm#SSEC010.9">R 30.10.9</a> <dt>AdditiveInverseAttr <a href="ref/CHAP030.htm#SSEC010.9">R 30.10.9</a> <dt>AdditiveInverseImmutable <a href="ref/CHAP030.htm#SSEC010.9">R 30.10.9</a> <dt>AdditiveInverseMutable <a href="ref/CHAP030.htm#SSEC010.9">R 30.10.9</a> <dt>AdditiveInverseOp <a href="ref/CHAP030.htm#SSEC010.9">R 30.10.9</a> <dt>AdditiveInverseSameMutability <a href="ref/CHAP030.htm#SSEC010.9">R 30.10.9</a> <dt>AdditiveInverseSM <a href="ref/CHAP030.htm#SSEC010.9">R 30.10.9</a> <dt>AdditiveNeutralElement <a href="ref/CHAP053.htm#SSEC003.5">R 53.3.5</a> <dt>AddRelator <a href="ref/CHAP046.htm#SSEC006.3">R 46.6.3</a> <dt>AddRowVector <a href="ref/CHAP023.htm#SSEC003.1">R 23.3.1</a> <dt>AddRule <a href="ref/CHAP036.htm#SSEC001.9">R 36.1.9</a> <dt>AddRuleReduced <a href="ref/CHAP036.htm#SSEC001.10">R 36.1.10</a> <dt>AddSet <a href="ref/CHAP021.htm#SSEC019.4">R 21.19.4</a> <dt>AdjointAssociativeAlgebra <a href="ref/CHAP061.htm#SSEC009.2">R 61.9.2</a> <dt>AdjointBasis <a href="ref/CHAP060.htm#SSEC008.5">R 60.8.5</a> <dt>AdjointMatrix <a href="ref/CHAP061.htm#SSEC009.1">R 61.9.1</a> <dt>AdjointModule <a href="ref/CHAP060.htm#SSEC010.19">R 60.10.19</a> <dt>Advanced Features of GAP <a href="ref/CHAP003.htm#SECT002">R 3.2</a> <dt>Advanced List Manipulations <a href="ref/CHAP021.htm#SECT021">R 21.21</a> <dt>Advanced Methods for Dixon-Schneider Calculations <a href="ref/CHAP069.htm#SECT015">R 69.15</a> <dt>AffineAction <a href="ref/CHAP043.htm#SSEC014.4">R 43.14.4</a> <dt>AffineActionLayer <a href="ref/CHAP043.htm#SSEC014.5">R 43.14.5</a> <dt>AffineOperation <a href="ref/CHAP043.htm#SSEC014.4">R 43.14.4</a> <dt>AffineOperationLayer <a href="ref/CHAP043.htm#SSEC014.5">R 43.14.5</a> <dt>Agemo <a href="ref/CHAP037.htm#SSEC014.2">R 37.14.2</a> <dt>AgGroup <a href="tut/CHAP009.htm#I0">T 9.4</a> <dt>Algebra <a href="ref/CHAP060.htm#SSEC001.1">R 60.1.1</a> <dt>AlgebraByStructureConstants <a href="ref/CHAP060.htm#SSEC003.5">R 60.3.5</a> <dt>AlgebraGeneralMappingByImages <a href="ref/CHAP060.htm#SSEC009.1">R 60.9.1</a> <dt>AlgebraHomomorphismByImages <a href="ref/CHAP060.htm#SSEC009.2">R 60.9.2</a> <dt>AlgebraHomomorphismByImagesNC <a href="ref/CHAP060.htm#SSEC009.3">R 60.9.3</a> <dt>Algebraic extensions of fields <a href="ref/CHAP065.htm">R 65.0</a> <dt>Algebraic Structure <a href="tut/CHAP007.htm#SECT002">T 7.2</a> <dt>AlgebraicExtension <a href="ref/CHAP065.htm#SSEC001.1">R 65.1.1</a> <dt>Algebras <a href="ref/CHAP060.htm">R 60.0</a> <dt>Algebras <a href="tut/CHAP006.htm#SECT002">T 6.2</a> <dt>AlgebraWithOne <a href="ref/CHAP060.htm#SSEC001.2">R 60.1.2</a> <dt>AlgebraWithOneGeneralMappingByImages <a href="ref/CHAP060.htm#SSEC009.4">R 60.9.4</a> <dt>AlgebraWithOneHomomorphismByImages <a href="ref/CHAP060.htm#SSEC009.5">R 60.9.5</a> <dt>AlgebraWithOneHomomorphismByImagesNC <a href="ref/CHAP060.htm#SSEC009.6">R 60.9.6</a> <dt>AllBlocks <a href="ref/CHAP039.htm#SSEC010.4">R 39.10.4</a> <dt>AllIrreducibleSolvableGroups <a href="ref/CHAP048.htm#SSEC011.3">R 48.11.3</a> <dt>AllLibraryGroups <a href="ref/CHAP048.htm#SSEC005.1">R 48.5.1</a> <dt>AllPrimitiveGroups <a href="ref/CHAP048.htm#I2">R 48.5</a> <dt>AllSmallGroups <a href="ref/CHAP048.htm#SSEC007.2">R 48.7.2</a> <dt>AllTransitiveGroups <a href="ref/CHAP048.htm#I3">R 48.5</a> <dt>Alpha <a href="ref/CHAP072.htm#SSEC001.1">R 72.1.1</a> <dt>AlternatingGroup <a href="ref/CHAP048.htm#SSEC001.7">R 48.1.7</a> <dt>An Example -- Designing Arithmetic Operations <a href="prg/CHAP006.htm">P 6.0</a> <dt>An Example -- Residue Class Rings <a href="prg/CHAP005.htm">P 5.0</a> <dt>An Example of a GAP Package <a href="ext/CHAP004.htm#SECT003">E 4.3</a> <dt>An Example of Advanced Dixon-Schneider Calculations <a href="ref/CHAP069.htm#SECT017">R 69.17</a> <dt>and <a href="ref/CHAP020.htm#SSEC003.2">R 20.3.2</a> <dt>and, for filters <a href="ref/CHAP013.htm#I0">R 13.2</a> <a href="ref/CHAP020.htm#SSEC003.3">R 20.3.3</a> <dt>ANFAutomorphism <a href="ref/CHAP058.htm#SSEC004.1">R 58.4.1</a> <dt>antisymmetric relation <a href="ref/CHAP032.htm#I6">R 32.2</a> <dt>AntiSymmetricParts <a href="ref/CHAP070.htm#SSEC011.3">R 70.11.3</a> <dt>Append <a href="ref/CHAP021.htm#SSEC004.7">R 21.4.7</a> <dt>AppendTo <a href="ref/CHAP009.htm#SSEC007.4">R 9.7.4</a> <dt>AppendTo, for streams <a href="ref/CHAP010.htm#SSEC004.4">R 10.4.4</a> <dt>Apple <a href="ref/CHAP073.htm#I7">R 73.14</a> <a href="ref/CHAP073.htm#I10">R 73.15</a> <dt>Applicable Methods and Method Selection <a href="prg/CHAP002.htm#SECT003">P 2.3</a> <dt>ApplicableMethod <a href="tut/CHAP008.htm#I13">T 8.4</a> <dt>ApplicableMethod <a href="ref/CHAP007.htm#SECT002">R 7.2</a> <a href="ref/CHAP007.htm#SSEC002.1">R 7.2.1</a> <dt>ApplicableMethodTypes <a href="ref/CHAP007.htm#SSEC002.1">R 7.2.1</a> <dt>Apply <a href="ref/CHAP021.htm#SSEC020.9">R 21.20.9</a> <dt>ApplyFunc <a href="tut/CHAP009.htm#I1">T 9.4</a> <dt>ApplySimpleReflection <a href="ref/CHAP061.htm#SSEC007.18">R 61.7.18</a> <dt>ApproximateSuborbitsStabilizerPermGroup <a href="ref/CHAP041.htm#SSEC009.14">R 41.9.14</a> <dt>ARCH_IS_MAC <a href="ref/CHAP003.htm#SSEC006.2">R 3.6.2</a> <dt>ARCH_IS_UNIX <a href="ref/CHAP003.htm#SSEC006.1">R 3.6.1</a> <dt>ARCH_IS_WINDOWS <a href="ref/CHAP003.htm#SSEC006.3">R 3.6.3</a> <dt>arg, special function argument <a href="ref/CHAP004.htm#I10">R 4.10</a> <a href="ref/CHAP004.htm#I51">R 4.22</a> <dt>Arithmetic for External Representations of Polynomials <a href="ref/CHAP064.htm#SECT022">R 64.22</a> <dt>Arithmetic for Lists <a href="ref/CHAP021.htm#SECT011">R 21.11</a> <dt>Arithmetic Issues in the Implementation of New Kinds of Lists <a href="prg/CHAP003.htm#SECT014">P 3.14</a> <dt>Arithmetic Operations for Class Functions <a href="ref/CHAP070.htm#SECT004">R 70.4</a> <dt>Arithmetic Operations for Elements <a href="ref/CHAP030.htm#SECT012">R 30.12</a> <dt>Arithmetic Operations for General Mappings <a href="ref/CHAP031.htm#SECT005">R 31.5</a> <dt>Arithmetic Operators <a href="ref/CHAP004.htm#SECT012">R 4.12</a> <dt>ArithmeticElementCreator <a href="prg/CHAP004.htm#SSEC012.1">P 4.12.1</a> <dt>Arrangements <a href="ref/CHAP017.htm#SSEC002.3">R 17.2.3</a> <dt>arrow notation for functions <a href="ref/CHAP004.htm#SSEC022.2">R 4.22.2</a> <dt>AsAlgebra <a href="ref/CHAP060.htm#SSEC008.7">R 60.8.7</a> <dt>AsAlgebraWithOne <a href="ref/CHAP060.htm#SSEC008.8">R 60.8.8</a> <dt>AsBinaryRelationOnPoints <a href="ref/CHAP032.htm#SSEC003.3">R 32.3.3</a> <dt>AsBlockMatrix <a href="ref/CHAP024.htm#SSEC015.1">R 24.15.1</a> <dt>AscendingChain <a href="ref/CHAP037.htm#SSEC017.16">R 37.17.16</a> <dt>AsDivisionRing <a href="ref/CHAP056.htm#SSEC001.9">R 56.1.9</a> <dt>AsDuplicateFreeList <a href="ref/CHAP021.htm#SSEC020.5">R 21.20.5</a> <dt>AsField <a href="ref/CHAP056.htm#SSEC001.9">R 56.1.9</a> <dt>AsFreeLeftModule <a href="ref/CHAP055.htm#SSEC003.3">R 55.3.3</a> <dt>AsGroup <a href="ref/CHAP037.htm#SSEC002.4">R 37.2.4</a> <dt>AsGroupGeneralMappingByImages <a href="ref/CHAP038.htm#SSEC001.5">R 38.1.5</a> <dt>AsLeftIdeal <a href="ref/CHAP054.htm#SSEC002.11">R 54.2.11</a> <dt>AsLeftModule <a href="ref/CHAP055.htm#SSEC001.5">R 55.1.5</a> <dt>AsList <a href="ref/CHAP028.htm#SSEC002.7">R 28.2.7</a> <dt>AsMagma <a href="ref/CHAP033.htm#SSEC002.10">R 33.2.10</a> <dt>AsMonoid <a href="ref/CHAP050.htm#">R 50.0</a> <dt>AsPolynomial <a href="ref/CHAP064.htm#SSEC004.5">R 64.4.5</a> <dt>AsRightIdeal <a href="ref/CHAP054.htm#SSEC002.11">R 54.2.11</a> <dt>AsRing <a href="ref/CHAP054.htm#SSEC001.7">R 54.1.7</a> <dt>AsSemigroup <a href="ref/CHAP049.htm#">R 49.0</a> <dt>Assert <a href="ref/CHAP007.htm#SSEC005.3">R 7.5.3</a> <dt>AssertionLevel <a href="ref/CHAP007.htm#SSEC005.2">R 7.5.2</a> <dt>Assertions <a href="ref/CHAP007.htm#SECT005">R 7.5</a> <dt>AsSet <a href="ref/CHAP028.htm#SSEC002.9">R 28.2.9</a> <dt>AssignGeneratorVariables <a href="ref/CHAP035.htm#SSEC002.5">R 35.2.5</a> <dt>assignment, to a list <a href="ref/CHAP021.htm#I2">R 21.4</a> <dt>assignment, to a record <a href="ref/CHAP027.htm#I3">R 27.2</a> <dt>assignment, variable <a href="ref/CHAP004.htm#SSEC014.1">R 4.14.1</a> <dt>assignment <a href="tut/CHAP002.htm#I14">T 2.5</a> <dt>Assignments <a href="ref/CHAP004.htm#SECT014">R 4.14</a> <dt>AssignNiceMonomorphismAutomorphismGroup <a href="ref/CHAP038.htm#SSEC008.1">R 38.8.1</a> <dt>AssociatedPartition <a href="ref/CHAP017.htm#SSEC002.24">R 17.2.24</a> <dt>AssociatedReesMatrixSemigroupOfDClass <a href="ref/CHAP049.htm#SSEC006.10">R 49.6.10</a> <dt>Associates <a href="ref/CHAP054.htm#SSEC005.4">R 54.5.4</a> <dt>Associative Words <a href="ref/CHAP035.htm">R 35.0</a> <dt>associativity <a href="ref/CHAP004.htm#I13">R 4.12</a> <dt>AssocWordByLetterRep <a href="ref/CHAP035.htm#SSEC006.9">R 35.6.9</a> <dt>AsSomething <a href="tut/CHAP007.htm#I3">T 7.6</a> <dt>AsSortedList <a href="ref/CHAP028.htm#SSEC002.8">R 28.2.8</a> <dt>AsSSortedList <a href="ref/CHAP028.htm#SSEC002.9">R 28.2.9</a> <dt>AsStruct <a href="ref/CHAP030.htm#SSEC004.1">R 30.4.1</a> <dt>AsSubalgebra <a href="ref/CHAP060.htm#SSEC008.9">R 60.8.9</a> <dt>AsSubalgebraWithOne <a href="ref/CHAP060.htm#SSEC008.10">R 60.8.10</a> <dt>AsSubgroup <a href="ref/CHAP037.htm#SSEC003.4">R 37.3.4</a> <dt>AsSubgroupOfWholeGroupByQuotient <a href="ref/CHAP045.htm#SSEC012.3">R 45.12.3</a> <dt>AsSubmagma <a href="ref/CHAP033.htm#SSEC002.11">R 33.2.11</a> <dt>AsSubmonoid <a href="ref/CHAP050.htm#">R 50.0</a> <dt>AsSubsemigroup <a href="ref/CHAP049.htm#">R 49.0</a> <dt>AsSubspace <a href="ref/CHAP059.htm#SSEC001.4">R 59.1.4</a> <dt>AsSubstruct <a href="ref/CHAP030.htm#SSEC008.3">R 30.8.3</a> <dt>AsTransformation <a href="ref/CHAP052.htm#">R 52.0</a> <a href="ref/CHAP052.htm#">R 52.0</a> <dt>AsTransformationNC <a href="ref/CHAP052.htm#">R 52.0</a> <dt>AsTwoSidedIdeal <a href="ref/CHAP054.htm#SSEC002.11">R 54.2.11</a> <dt>AsVectorSpace <a href="ref/CHAP059.htm#SSEC001.3">R 59.1.3</a> <dt>at exit functions <a href="ref/CHAP006.htm#I15">R 6.8</a> <dt>ATLAS Irrationalities <a href="ref/CHAP018.htm#SECT004">R 18.4</a> <dt>AtlasIrrationality <a href="ref/CHAP018.htm#SSEC004.6">R 18.4.6</a> <dt>atomic irrationalities <a href="ref/CHAP018.htm#I10">R 18.4</a> <dt>Attributes <a href="ref/CHAP013.htm#SECT005">R 13.5</a> <dt>Attributes <a href="tut/CHAP008.htm#SECT001">T 8.1</a> <dt>Attributes and Operations for Algebras <a href="ref/CHAP060.htm#SECT008">R 60.8</a> <dt>Attributes and Properties for (Near-)Additive Magmas <a href="ref/CHAP053.htm#SECT003">R 53.3</a> <dt>Attributes and Properties for Collections <a href="ref/CHAP028.htm#SECT003">R 28.3</a> <dt>Attributes and Properties for Magmas <a href="ref/CHAP033.htm#SECT004">R 33.4</a> <dt>Attributes and Properties for Matrix Groups <a href="ref/CHAP042.htm#SECT001">R 42.1</a> <dt>Attributes and Properties of Character Tables <a href="ref/CHAP069.htm#SECT008">R 69.8</a> <dt>Attributes and Properties of Elements <a href="ref/CHAP030.htm#SECT010">R 30.10</a> <dt>Attributes of and Operations on Equivalence Relations <a href="ref/CHAP032.htm#SECT006">R 32.6</a> <dt>Attributes of Tables of Marks <a href="ref/CHAP068.htm#SECT007">R 68.7</a> <dt>Attributes vs. Record Components <a href="tut/CHAP009.htm#SECT008">T 9.8</a> <dt>AttributeValueNotSet <a href="ref/CHAP013.htm#SSEC006.3">R 13.6.3</a> <dt>AugmentationIdeal <a href="ref/CHAP063.htm#SSEC001.7">R 63.1.7</a> <dt>Augmented Coset Tables and Rewriting <a href="ref/CHAP045.htm#SECT008">R 45.8</a> <dt>AugmentedCosetTableInWholeGroup <a href="ref/CHAP045.htm#SSEC008.1">R 45.8.1</a> <dt>AugmentedCosetTableMtc <a href="ref/CHAP045.htm#SSEC008.2">R 45.8.2</a> <dt>AugmentedCosetTableRrs <a href="ref/CHAP045.htm#SSEC008.3">R 45.8.3</a> <dt>Authors <a href="tut/CHAP010.htm">T 10.0</a> <dt>Authorship and Maintenance <a href="tut/CHAP001.htm#SECT002">T 1.2</a> <dt>automatic loading of GAP packages <a href="ref/CHAP074.htm#I1">R 74.2</a> <dt>automorphism group, of number fields <a href="ref/CHAP058.htm#I10">R 58.4</a> <dt>AutomorphismDomain <a href="ref/CHAP038.htm#SSEC007.2">R 38.7.2</a> <dt>AutomorphismGroup <a href="ref/CHAP038.htm#SSEC007.3">R 38.7.3</a> <dt>AutomorphismGroup, for groups with pcgs <a href="ref/CHAP043.htm#I13">R 43.16</a> <dt>Automorphisms and Equivalence of Character Tables <a href="ref/CHAP069.htm#SECT020">R 69.20</a> <dt>AutomorphismsOfTable <a href="ref/CHAP069.htm#SSEC008.8">R 69.8.8</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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