<html><head><title>IRREDSOL : a GAP 4 package - Index </title></head> <body text="#000000" bgcolor="#ffffff"> <h1><font face="Gill Sans,Helvetica,Arial">IRREDSOL</font> : a <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 package - Index </h1> <p> <a href="#idxA">A</A> <a href="#idxB">B</A> <a href="#idxC">C</A> <a href="#idxD">D</A> <a href="#idxF">F</A> <a href="#idxI">I</A> <a href="#idxL">L</A> <a href="#idxM">M</A> <a href="#idxO">O</A> <a href="#idxP">P</A> <a href="#idxR">R</A> <a href="#idxS">S</A> <a href="#idxT">T</A> <a href="#idxU">U</A> <a href="#idxW">W</A> <H2><A NAME="idxA">A</A></H2> <dl> <dt>AbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP002.htm#SSEC002.6">2.2.6</a> <dt>Accessing the data library <a href="CHAP002.htm">2.0</a> <dt>Additional functionality for matrix groups <a href="CHAP004.htm">4.0</a> <dt>AllIrreducibleSolvableMatrixGroups <a href="CHAP002.htm#SSEC003.1">2.3.1</a> <dt>AllPrimitivePcGroups <a href="CHAP005.htm#SSEC002.1">5.2.1</a> <dt>AllPrimitiveSolvablePermutationGroups <a href="CHAP005.htm#SSEC003.1">5.3.1</a> </dl><p> <H2><A NAME="idxB">B</A></H2> <dl> <dt>Basic attributes for matrix groups <a href="CHAP004.htm#SECT001">4.1</a> </dl><p> <H2><A NAME="idxC">C</A></H2> <dl> <dt>Characteristic, for matrix groups <a href="CHAP004.htm#SSEC001.5">4.1.5</a> <dt>CharacteristicOfField <a href="CHAP004.htm#SSEC001.5">4.1.5</a> <dt>Compatibility with other data libraries <a href="CHAP003.htm#SECT002">3.2</a> <dt>Conjugating matrix groups into smaller fields <a href="CHAP004.htm#SECT004">4.4</a> <dt>ConjugatingMatTraceField <a href="CHAP004.htm#SSEC004.2">4.4.2</a> </dl><p> <H2><A NAME="idxD">D</A></H2> <dl> <dt>DefaultFieldOfMatrixGroup <a href="CHAP004.htm#SSEC001.3">4.1.3</a> <dt>Degree, for matrix groups <a href="CHAP004.htm#SSEC001.1">4.1.1</a> <dt>DegreeOfMatrixGroup <a href="CHAP004.htm#SSEC001.1">4.1.1</a> <dt>Design of the group library <a href="CHAP002.htm#SECT001">2.1</a> <dt>Dimension, for matrix groups <a href="CHAP004.htm#SSEC001.1">4.1.1</a> <dt>DimensionOfMatrixGroup <a href="CHAP004.htm#SSEC001.1">4.1.1</a> </dl><p> <H2><A NAME="idxF">F</A></H2> <dl> <dt>FieldOfMatrixGroup <a href="CHAP004.htm#SSEC001.2">4.1.2</a> <dt>Finding matrix groups with given properties <a href="CHAP002.htm#SECT003">2.3</a> <dt>Finding primitive pc groups with given properties <a href="CHAP005.htm#SECT002">5.2</a> <dt>Finding primitive solvable permutation groups with given properties <a href="CHAP005.htm#SECT003">5.3</a> </dl><p> <H2><A NAME="idxI">I</A></H2> <dl> <dt>IdAbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.5">3.1.5</a> <dt>Identification of irreducible groups <a href="CHAP003.htm#SECT001">3.1</a> <dt>IdIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.3">3.1.3</a> <dt>IdIrreducibleSolvableMatrixGroupIndexMS <a href="CHAP003.htm#SSEC002.1">3.2.1</a> <dt>IdPrimitiveSolvableGroup <a href="CHAP005.htm#SSEC004.1">5.4.1</a> <dt>IdPrimitiveSolvableGroupNC <a href="CHAP005.htm#SSEC004.1">5.4.1</a> <dt>ImprimitivitySystems <a href="CHAP004.htm#SSEC003.3">4.3.3</a> <dt>IndexMSIdIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC002.2">3.2.2</a> <dt>IndicesAbsolutelyIrreducibleSolvableMatrixGroups <a href="CHAP002.htm#SSEC002.6">2.2.6</a> <dt>IndicesIrreducibleSolvableMatrixGroups <a href="CHAP002.htm#SSEC002.2">2.2.2</a> <dt>IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups <a href="CHAP002.htm#SSEC002.5">2.2.5</a> <dt>IRREDSOL <a href="CHAP001.htm#I0">1.0</a> <dt>Irreducibility and maximality of matrix groups <a href="CHAP004.htm#SECT002">4.2</a> <dt>IrreducibleMatrixGroupPrimitiveSolvableGroup <a href="CHAP005.htm#SSEC001.3">5.1.3</a> <dt>IrreducibleMatrixGroupPrimitiveSolvableGroupNC <a href="CHAP005.htm#SSEC001.3">5.1.3</a> <dt>IrreducibleSolvableMatrixGroup <a href="CHAP002.htm#SSEC002.3">2.2.3</a> <dt>IsAbsolutelyIrreducible <a href="CHAP004.htm#SSEC002.2">4.2.2</a> <dt>IsAbsolutelyIrreducibleMatrixGroup <a href="CHAP004.htm#SSEC002.2">4.2.2</a> <dt>IsAvailableAbsolutelyIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC002.4">2.2.4</a> <dt>IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.2">3.1.2</a> <dt>IsAvailableIdIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.1">3.1.1</a> <dt>IsAvailableIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC002.1">2.2.1</a> <dt>IsIrreducible, for matrix groups <a href="CHAP004.htm#SSEC002.1">4.2.1</a> <dt>IsIrreducibleMatrixGroup <a href="CHAP004.htm#SSEC002.1">4.2.1</a> <dt>IsLinearlyPrimitive <a href="CHAP004.htm#SSEC003.2">4.3.2</a> <dt>IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP004.htm#SSEC002.3">4.2.3</a> <dt>IsPrimitive, for matrix groups <a href="CHAP004.htm#SSEC003.2">4.3.2</a> <dt>IsPrimitiveMatrixGroup <a href="CHAP004.htm#SSEC003.2">4.3.2</a> <dt>IteratorIrreducibleSolvableMatrixGroups <a href="CHAP002.htm#SSEC003.3">2.3.3</a> <dt>IteratorPrimitivePcGroups <a href="CHAP005.htm#SSEC002.3">5.2.3</a> <dt>IteratorPrimitivePermutationGroups <a href="CHAP005.htm#SSEC003.3">5.3.3</a> </dl><p> <H2><A NAME="idxL">L</A></H2> <dl> <dt>LoadAbsolutelyIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC004.1">2.4.1</a> <dt>LoadAbsolutelyIrreducibleSolvableGroupFingerprints <a href="CHAP003.htm#SSEC003.1">3.3.1</a> <dt>LoadedAbsolutelyIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC004.2">2.4.2</a> <dt>LoadedAbsolutelyIrreducibleSolvableGroupFingerprints <a href="CHAP003.htm#SSEC003.2">3.3.2</a> <dt>Loading and unloading group data manually <a href="CHAP002.htm#SECT004">2.4</a> <dt>Loading and unloading recognition data manually <a href="CHAP003.htm#SECT003">3.3</a> <dt>Low level access functions <a href="CHAP002.htm#SECT002">2.2</a> </dl><p> <H2><A NAME="idxM">M</A></H2> <dl> <dt>MinimalBlockDimension, for matrix groups <a href="CHAP004.htm#SSEC003.1">4.3.1</a> <dt>MinimalBlockDimensionOfMatrixGroup <a href="CHAP004.htm#SSEC003.1">4.3.1</a> </dl><p> <H2><A NAME="idxO">O</A></H2> <dl> <dt>OneIrreducibleSolvableMatrixGroup <a href="CHAP002.htm#SSEC003.2">2.3.2</a> <dt>OnePrimitivePcGroup <a href="CHAP005.htm#SSEC002.2">5.2.2</a> <dt>OnePrimitiveSolvablePermutationGroup <a href="CHAP005.htm#SSEC003.2">5.3.2</a> <dt>Overview <a href="CHAP001.htm">1.0</a> </dl><p> <H2><A NAME="idxP">P</A></H2> <dl> <dt>Primitive solvable groups <a href="CHAP005.htm">5.0</a> <dt>PrimitivePcGroupIrreducibleMatrixGroup <a href="CHAP005.htm#SSEC001.1">5.1.1</a> <dt>PrimitivePcGroupIrreducibleMatrixGroupNC <a href="CHAP005.htm#SSEC001.1">5.1.1</a> <dt>PrimitivePermutationGroupIrreducibleMatrixGroup <a href="CHAP005.htm#SSEC001.2">5.1.2</a> <dt>PrimitivePermutationGroupIrreducibleMatrixGroupNC <a href="CHAP005.htm#SSEC001.2">5.1.2</a> <dt>Primitivity of matrix groups <a href="CHAP004.htm#SECT003">4.3</a> </dl><p> <H2><A NAME="idxR">R</A></H2> <dl> <dt>Recognition of matrix groups <a href="CHAP003.htm">3.0</a> <dt>RecognitionAbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.5">3.1.5</a> <dt>RecognitionAbsolutelyIrreducibleSolvableMatrixGroupNC <a href="CHAP003.htm#SSEC001.5">3.1.5</a> <dt>RecognitionIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.4">3.1.4</a> <dt>RecognitionIrreducibleSolvableMatrixGroupNC <a href="CHAP003.htm#SSEC001.4">3.1.4</a> <dt>Recognizing primitive solvable groups <a href="CHAP005.htm#SECT004">5.4</a> <dt>RepresentationIsomorphism <a href="CHAP004.htm#SSEC001.6">4.1.6</a> </dl><p> <H2><A NAME="idxS">S</A></H2> <dl> <dt>SplittingField <a href="CHAP004.htm#SSEC001.4">4.1.4</a> </dl><p> <H2><A NAME="idxT">T</A></H2> <dl> <dt>TraceField <a href="CHAP004.htm#SSEC004.1">4.4.1</a> <dt>Translating between irreducible solvable matrix groups and primitive solvable groups <a href="CHAP005.htm#SECT001">5.1</a> </dl><p> <H2><A NAME="idxU">U</A></H2> <dl> <dt>UnloadAbsolutelydIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC004.3">2.4.3</a> <dt>UnloadAbsolutelyIrreducibleSolvableGroupFingerprints <a href="CHAP003.htm#SSEC003.3">3.3.3</a> </dl><p> <H2><A NAME="idxW">W</A></H2> <dl> <dt>workspace, running out of <a href="CHAP002.htm#I0">2.4</a> <a href="CHAP003.htm#I0">3.3</a> </dl><p> [<a href="chapters.htm">Up</a>]<p> <P> <address>IRREDSOL manual<br>February 2007 </address></body></html>
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