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<dt>
<dt>IRREDSOL <a href="CHAP001dt>Version History a =CHAP00A.htm"A0</a
<dtIRREDSOL, accessing low level data <a href="CHAP002.htm#I1">2.2</a>
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<dt>irreducibility, ofdlp
ducibleMatrixGroupPrimitiveSolubleGroup <a href="CHAP005.htm#SSEC001.4">5.1.4</a>
<dt>IrreducibleMatrixGroupPrimitiveSolvableGroupNC <a href="CHAP005.htm#SSEC001.4">5.1.4</a>
<dt/address/body<html>
<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>IsAvailableAbsolutelyIrreducibleSolubleGroupData <a href="CHAP002.htm#SSEC002.4">2.2.4</a>
<dt>IsAvailableAbsolutelyIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC002.4">2.2.4</a>
<dt>IsAvailableIdAbsolutelyIrreducibleSolubleMatrixGroup <a href="CHAP003.htm#SSEC001.2">3.1.2</a>
<dt>IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.2">3.1.2</a>
<dt>IsAvailableIdIrreducibleSolubleMatrixGroup <a href="CHAP003.htm#SSEC001.1">3.1.1</a>
<dt>IsAvailableIdIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.1">3.1.1</a>
<dt>IsAvailableIrreducibleSolubleGroupData <a href="CHAP002.htm#SSEC002.1">2.2.1</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>IsMaximalAbsolutelyIrreducibleSolubleMatrixGroup <a href="CHAP004.htm#SSEC002.3">4.2.3</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>IteratorIrredSolMatGroups <a href="CHAP002.htm#SSEC003.3">2.3.3</a>
<dt>IteratorIrreducibleSolubleMatrixGroups <a href="CHAP002.htm#SSEC003.3">2.3.3</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>IteratorPrimitivePermGroups <a href="CHAP005.htm#SSEC003.3">5.3.3</a>
<dt>IteratorPrimitivePermutationGroups <a href="CHAP005.htm#SSEC005.1">5.5.1</a>
</dl><p>
<H2><A NAME="idxL">L</A></H2>
<dl>
<dt>LoadAbsoIrredSolGroupData <a href="CHAP002.htm#SSEC004.1">2.4.1</a>
<dt>LoadAbsolutelyIrreducibleSolubleGroupData <a href="CHAP002.htm#SSEC004.1">2.4.1</a>
<dt>LoadAbsolutelyIrreducibleSolubleGroupFingerprints <a href="CHAP003.htm#SSEC003.1">3.3.1</a>
<dt>LoadAbsolutelyIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC004.1">2.4.1</a>
<dt>LoadedAbsoIrredSolGroupData <a href="CHAP002.htm#SSEC004.2">2.4.2</a>
<dt>LoadedAbsolutelyIrreducibleSolubleGroupData <a href="CHAP002.htm#SSEC004.2">2.4.2</a>
<dt>LoadedAbsolutelyIrreducibleSolubleGroupFingerprints <a href="CHAP003.htm#SSEC003.2">3.3.2</a>
<dt>LoadedAbsolutelyIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC004.2">2.4.2</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>loading, of group data <a href="CHAP002.htm#I4">2.4</a>
<dt>loading, of recognition data <a href="CHAP003.htm#I3">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>matrix group, basic attributes <a href="CHAP004.htm#I1">4.1</a>
<dt>matrix group, conjugating into smaller fieldss <a href="CHAP004.htm#I8">4.4</a>
<dt>matrix group, irreducibility <a href="CHAP004.htm#I2">4.2</a>
<dt>matrix group, maximality <a href="CHAP004.htm#I3">4.2</a>
<dt>matrix group, primitivity <a href="CHAP004.htm#I6">4.3</a>
<dt>matrix group, with given properties <a href="CHAP002.htm#I3">2.3</a>
<dt>maximality, of matrix group <a href="CHAP004.htm#I5">4.2</a>
<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>Obsolete functions <a href="CHAP005.htm#SECT005">5.5</a>
<dt>obsolete functions, for primitive soluble permutation groups <a href="CHAP005.htm#I16">5.5</a>
<dt>OneIrredSolMatGroup <a href="CHAP002.htm#SSEC003.2">2.3.2</a>
<dt>OneIrreducibleSolubleMatrixGroup <a href="CHAP002.htm#SSEC003.2">2.3.2</a>
<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>OnePrimitiveSolublePermGroup <a href="CHAP005.htm#SSEC003.2">5.3.2</a>
<dt>OnePrimitiveSolublePermutationGroup <a href="CHAP005.htm#SSEC005.1">5.5.1</a>
<dt>OnePrimitiveSolvablePermGroup <a href="CHAP005.htm#SSEC003.2">5.3.2</a>
<dt>OnePrimitiveSolvablePermutationGroup <a href="CHAP005.htm#SSEC005.1">5.5.1</a>
<dt>Overview <a href="CHAP001.htm">1.0</a>
</dl><p>
<H2><A NAME="idxP">P</A></H2>
<dl>
<dt>permutation group, primitive soluble <a href="CHAP005.htm#I3">5.0</a>
<dt>primitive pc group, identification <a href="CHAP005.htm#I12">5.4</a>
<dt>primitive pc group, recognition <a href="CHAP005.htm#I14">5.4</a>
<dt>primitive pc group, with given properties <a href="CHAP005.htm#I5">5.2</a>
<dt>primitive permutation group, identification <a href="CHAP005.htm#I13">5.4</a>
<dt>primitive permutation group, recognition <a href="CHAP005.htm#I15">5.4</a>
<dt>primitive permutation group, with given properties <a href="CHAP005.htm#I7">5.3</a>
<dt>Primitive soluble groups <a href="CHAP005.htm">5.0</a>
<dt>primitive soluble groups <a href="CHAP005.htm#I0">5.0</a>
<dt>PrimitivePcGroup <a href="CHAP005.htm#SSEC001.1">5.1.1</a>
<dt>PrimitivePcGroupIrreducibleMatrixGroup <a href="CHAP005.htm#SSEC001.2">5.1.2</a>
<dt>PrimitivePcGroupIrreducibleMatrixGroupNC <a href="CHAP005.htm#SSEC001.2">5.1.2</a>
<dt>PrimitivePermGroupIrreducibleMatrixGroup <a href="CHAP005.htm#SSEC001.3">5.1.3</a>
<dt>PrimitivePermGroupIrreducibleMatrixGroupNC <a href="CHAP005.htm#SSEC001.3">5.1.3</a>
<dt>PrimitivePermutationGroupIrreducibleMatrixGroup <a href="CHAP005.htm#SSEC005.1">5.5.1</a>
<dt>PrimitivePermutationGroupIrreducibleMatrixGroupNC <a href="CHAP005.htm#SSEC005.1">5.5.1</a>
<dt>PrimitiveSolublePermGroup <a href="CHAP005.htm#SSEC001.1">5.1.1</a>
<dt>PrimitiveSolublePermutationGroup <a href="CHAP005.htm#SSEC005.1">5.5.1</a>
<dt>PrimitiveSolvablePermGroup <a href="CHAP005.htm#SSEC001.1">5.1.1</a>
<dt>PrimitiveSolvablePermutationGroup <a href="CHAP005.htm#SSEC005.1">5.5.1</a>
<dt>Primitivity of matrix groups <a href="CHAP004.htm#SECT003">4.3</a>
<dt>primitivity, of matrix group <a href="CHAP004.htm#I7">4.3</a>
</dl><p>
<H2><A NAME="idxR">R</A></H2>
<dl>
<dt>Recognising primitive soluble groups <a href="CHAP005.htm#SECT004">5.4</a>
<dt>Recognition of matrix groups <a href="CHAP003.htm">3.0</a>
<dt>recognition, of matrix groups <a href="CHAP003.htm#I0">3.0</a>
<dt>recognition, of primitive pc group <a href="CHAP005.htm#I10">5.4</a>
<dt>recognition, of primitive permutation group <a href="CHAP005.htm#I11">5.4</a>
<dt>RecognitionAbsolutelyIrreducibleSolubleMatrixGroup <a href="CHAP003.htm#SSEC001.5">3.1.5</a>
<dt>RecognitionAbsolutelyIrreducibleSolubleMatrixGroupNC <a href="CHAP003.htm#SSEC001.5">3.1.5</a>
<dt>RecognitionAbsolutelyIrreducibleSoluvaleMatrixGroupNC <a href="CHAP003.htm#SSEC001.5">3.1.5</a>
<dt>RecognitionAbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.5">3.1.5</a>
<dt>RecognitionIrreducibleSolubleMatrixGroup <a href="CHAP003.htm#SSEC001.4">3.1.4</a>
<dt>RecognitionIrreducibleSolubleMatrixGroupNC <a href="CHAP003.htm#SSEC001.4">3.1.4</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>RecognitionPrimitiveSolubleGroup <a href="CHAP005.htm#SSEC004.2">5.4.2</a>
<dt>RecognitionPrimitiveSolvableGroup <a href="CHAP005.htm#SSEC004.2">5.4.2</a>
<dt>RepresentationIsomorphism <a href="CHAP004.htm#SSEC001.6">4.1.6</a>
</dl><p>
<H2><A NAME="idxS">S</A></H2>
<dl>
<dt>soluble primitive groups <a href="CHAP005.htm#I1">5.0</a>
<dt>SplittingField <a href="CHAP004.htm#SSEC001.4">4.1.4</a>
<dt>structure of IRREDSOL <a href="CHAP001.htm#I1">1.0</a>
</dl><p>
<H2><A NAME="idxT">T</A></H2>
<dl>
<dt>TraceField <a href="CHAP004.htm#SSEC004.1">4.4.1</a>
</dl><p>
<H2><A NAME="idxU">U</A></H2>
<dl>
<dt>UnloadAbsoIrredSolGroupData <a href="CHAP002.htm#SSEC004.3">2.4.3</a>
<dt>UnloadAbsolutelyIrreducibleSolubleGroupData <a href="CHAP002.htm#SSEC004.3">2.4.3</a>
<dt>UnloadAbsolutelyIrreducibleSolubleGroupFingerprints <a href="CHAP003.htm#SSEC003.3">3.3.3</a>
<dt>UnloadAbsolutelyIrreducibleSolvableGroupData <a href="CHAP002.htm#SSEC004.3">2.4.3</a>
<dt>unloading, of group data <a href="CHAP002.htm#I5">2.4</a>
<dt>unloading, of recognition data <a href="CHAP003.htm#I4">3.3</a>
</dl><p>
<H2><A NAME="idxV">V</A></H2>
<dl>
<dt>Version History <a href="CHAP00A.htm">A.0</a>
</dl><p>
<H2><A NAME="idxW">W</A></H2>
<dl>
<dt>workspace, running out of <a href="CHAP002.htm#I6">2.4</a> <a href="CHAP003.htm#I5">3.3</a>
</dl><p>
[<a href="chapters.htm">Up</a>]<p>
<P>
<address>IRREDSOL manual<br>November 2022
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