<><IRREDSOL:a 4package  Index</itle</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="#idxG">G</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="#idxV">V</A>
<a href="#idxW">W</A>
<H2><A NAME="idxA">A</A></H2>
<dl>
<dt>AbsolutelyIrreducibleSolubleMatrixGroup <a href="CHAP002.htm#SSEC002.6">2.2.6</a> 
<t>Accessing thedata library <a href="CHAP002.htm">2.0</a> 
<dt>Additional functionality for matrix groups <a href="CHAP004.htm">4.0</a> 
<dt>AllIrredSolMatGroups <a href="CHAP002.htm#SSEC003.1">2.3.1</a> 
<dt>AllIrreducibleSolubleMatrixGroups <a href="CHAP002.htm#SSEC003.1">2.3.1</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>AllPrimitiveSolublePermGroups <a href="CHAP005.htm#SSEC003.1">5.3.1</a> 
<dt>AllPrimitiveSolublePermutationGroups <a href="CHAP005.htm#SSEC005.1">5.5.1</a> 
<dt>AllPrimitiveSolvablePermGroups <a href="CHAP005.htm#SSEC003.1">5.3.1</a> 
<dt>AllPrimitiveSolvablePermutationGroups <a href="CHAP005.htm#SSEC005.1">5.5.1</a> 
<dt>attributes, basic, for matrix groups <a href="CHAP004.htm#I0">4.1</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> <a href="HAP004htm#SSEC001.5">4.1.5</a> 
<dt>Compatibility with other data libraries <a href="CHAP003.htm#SECT002">3.2</a> 
<dt>compatibility, with other data libraries <a href="CHAP003.htm#I2">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> 
<dt>Converting between h1><font face="Gill Sans,Helvetica"IRREDSOL</font> : a <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 package - Index </h1>
</dl><p>
<H2><A NAME="idxD">D<a =#dxB"B</A>
<dl>
<dt>DefaultFieldOfMatrixGroup href="idxD">D</A>
<dt>Degree, for matrix groups <a href="CHAP004.htm#SSEC001.1""idxF><A
<dt>DegreeOfMatrixGroup <a dt>AbsolutelyIrreducibleSolubl <ahref="HAP002.htm#SEC002.6">2.2.6</a> 
<dt>Design of the group  the  library <a href="CHAP002.htm">2.0</a> 
<>Dimension,for matrix groups <a href="CHAP004.htm#SSEC001.1">4.1.1</a> 
<dt>imensionOfMatrixGroup <a href="CHAP004.htm#SSEC001.1">4.1.1</a> 
</dl><p>
<H2="idxF">F</>/H2>
<dtAllPrimitivePcGroups <a href="CHAP005.htm#SSEC002.1">5.2.1</a> 
<dt>FieldOfMatrixGroup <a href="CHAP004.htm#SSEC001.>AllPrimitiveSolublePermGroups <a href="CHAP005.htm#SSEC003.1">5.3.1</a> 
dt>,matrixgroup<href".tm#">.</>
<dt>find, primitive pc group <a href="dt>AllPrimitiveSolvablePermGroups <a href.tm#."531/ 
<dt>find, primitive AllPrimitiveSolvablePermutationGroups <a href="CHAP005.htm#SSEC005.1">5.5.1</a> 
<>inding  groupswithgiven properties < href".htm#ECT003"23/>
<dt>Finding primitive pc groups with givendl>>
<>Finding primitive soluble permutation groups with given  < =CHAP005htmSECT0035.<a>
</dl><p>
<<dl
<>
<tgroup, primitive soluble< =C.htmI"50/>
<dl>p>
<2>ANAME=idxI"I</A><H2>
<dl>
<dt>IdAbsolutelyIrreducibleSolubleMatrixGroup <a href="CHAP003.t>haracteristic  matrix groups < ="CHAP004.htm#SSEC001.5"4..<a>
<dt>IdAbsolutelyIrreducibleSolvableMatrixGroupahref"HAP003.htm#SSEC001.5>..<a> 
<dt>Identification of irreducible>ompatibility  data libraries a "HAP003.tm#ECT002"32/>
<dt>dentificationof  groups<href"HAP003.htm#I1"30/>
<dt>identification, ofgroupsintosmaller < href=CHAP004htm#ECT004"44/>java.lang.StringIndexOutOfBoundsException: Index 88 out of bounds for length 88
<identification  primitivepermutation group< =C.I"54/ 
<dt>IdIrreducibleSolubleMatrixGroup <a href="CHAP003.htm#SSEC001.3<>p>
<dt>IdIrreducibleSolubleMatrixGroupIndexMS <a href=<>A =idxD><A<H2
<dt>IdIrreducibleSolvableMatrixGroupahref="HAP003.#.3"313/>
<dt>IdPrimitiveSolubleGroup< href="HAP005.SSEC004."541/ 
<IdPrimitiveSolubleGroupNChref".htm#.1>..<a>
<dt>IdPrimitiveSolvableGroup <a <>Designof  grouplibrary<a=CHAP002htm#ECT001>.<a 
<dt>IdPrimitiveSolvableGroupNC <a href".htm#SEC004."54./a>
<dt>ImprimitivitySystems <a href="CHAP004.htm#SSEC003.3">4.3.3</a> 
< <a href"HAP003.htm#SSEC002.2>..<a> 
<dt>IndicesAbsolutelyIrreducibleSolubleMatrixGroups <a/dl>p>
<olubleMatrixGroups java.lang.StringIndexOutOfBoundsException: Range [51, 49) out of bounds for length 84
<dt>IndicesIrreducibleSolvableMatrixGroups>
<dt>IndicesMaximalAbsolutelyIrreducibleSolubleMatrixGroupshref=C.tm."22.</a>
<dt>dt>find, matrix group <a href="CHAP002.htm#I2">2.3</a> 
<dt><dt>find, pr  group a href".#I4">5.2</a> 
<dt>IRREDSOL,accessing level data< href=CHAP002h#">.2</a>
<dt>IRREDSOL<>Finding  groups withgivenpropertiesa "HAP002.tm#ECT003"23/> 
<Irreducibility  maximality  matrix  ahref<a>
<dt>dt>Finding java.lang.StringIndexOutOfBoundsException: Range [22, 21) out of bounds for length 109
<dt>IrreducibleMatrixGroupPrimitiveSolubleGroup <a href="CHAP005.htm#SSEC001.4">5.1.4<dl>>
dtIrreducibleMatrixGroupPrimitiveSolvableGroupNC=CHAP005hSSEC001."514/ 
<dt>dt>group,  <href=.I"50/> 
<dt>java.lang.StringIndexOutOfBoundsException: Index 22 out of bounds for length 8
<<a href"HAP004.#SEC002."422/>
<dt> a =CHAP004htmSSEC0022"42.<a>
<dt> <href=CHAP002.htm#SSEC002.4">2.2.4</a> 
<dt>java.lang.StringIndexOutOfBoundsException: Range [57, 53) out of bounds for length 96
<dt>IsAvailableIdAbsolutelyIrreducibleSolubleMatrixGroup <a href="dt>identification, of primitive permutation group <a href="CHAP005.htm#I9">5.4</a> 
<>sAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup".tm#.>3.1.<a>
<dt>IsAvailableIdIrreducibleSolubleMatrixGroup <a href="CHAP003.htm#SSEC001.1">3.1.1</a> 
<t>IsAvailableIdIrreducibleSolvableMatrixGroup <a href="CHAP003htm#.1>..<a>
<>sAvailableIrreducibleSolubleGroupData<href"HAP002htm#SEC0021>..<a>java.lang.StringIndexOutOfBoundsException: Index 85 out of bounds for length 85
<dt>IsAvailableIrreducibleSolvableGroupData <a href=C.htmS."221/> 
<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>IdPrimitiveSolvableGroupNC href="HAP005.htm#SSEC004.1">5.4.1</a> 
<dt>IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup <a href="dt>ImprimitivitySystems <a href="CHAP004.htm#SSEC003.3">4.3.3</a
<>IsPrimitive formatrix groups< href"HAP004.tm#."43./>
<dtIndicesAbsolutelyIrreducibleSolubleMatrixGroupsCjava.lang.StringIndexOutOfBoundsException: Range [69, 68) out of bounds for length 94
< <aChtm3>..<a 
<<dt <a=.#SEC002"222/>java.lang.StringIndexOutOfBoundsException: Index 85 out of bounds for length 85
<> <a href=.tmSSEC0033>..<a 
<dt>IteratorPrimitivePcGroupsdt>ndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups <a href="CHAP002.htm#SSEC002.5">2.2.5</a> 
<ps <a href=CHAP005htm#.3"53.</>
<dt>IteratorPrimitivePermutationGroups <a href=<tIRREDSOL,accessing lowleveldata a ="HAP002.tm#"2.</>java.lang.StringIndexOutOfBoundsException: Index 72 out of bounds for length 72
<dl><>
<H2><A NAME="idxL">L</A></H2>
<dl>
<dt>LoadAbsoIrredSolGroupData <a href="CHAP002.htm#SSEC004.1">2.4.1</a> 
<dtLoadAbsolutelyIrreducibleSolubleGroupData <a href="CHAP002.htm#SSEC004.1">2.4.1</a> 
<dt>IrreducibleMatrixGroupPrimitiveSolubleGroup =CHAP005#java.lang.StringIndexOutOfBoundsException: Range [77, 76) out of bounds for length 90
LoadAbsolutelyIrreducibleSolvableGroupData=.SSEC004".1/>
<dt>LoadedAbsoIrredSolGroupData <a >IsAbsolutelyIrreducible <a href="CHAP004.>.<java.lang.StringIndexOutOfBoundsException: Index 70 out of bounds for length 70
<dt>dt>IsAvailableAbsolutelyIrreducibleSolubleGroupData <a href="CHAP002.htm#SSEC002.4">2.2dIsAvailableAbsolutelyIrreducibleSolvableGroupData=htmSSEC002."22.<a> 
<dt>oadedAbsolutelyIrreducibleSolubleGroupFingerprints <a href="CHAP003.htm#SSEC003.2">3.3.2</a> 
<dt>IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.2">3.1.2</a> 
<>Loading andunloading group data manually < href="HAP002.htm#ECT004">2.4</a> 
<dt>Loading and unloading recognition data manually <a href="<t>IsAvailableIdIrreducibleSolvableMatrixGroup <a href="CHAP003.htm#SSEC001.1">3.1.1</a> 
<dt>loading, of group data <a href="CHAP002.htm#I4">2.4</a> 
<dtjava.lang.StringIndexOutOfBoundsException: Index 66 out of bounds for length 66
<dt>Low level accessdtIsIrreducible, for matrix groups <a href="CHAP004.htm#SSEC002.1">4.2.1</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> 
<, primitivity <a href="CHAP004.htm#I6">4.3</a> 
<dtdt>IteratorIrredSolMatGroups <a href=CHAP002.tmSSEC003.3">..3</> 
<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 <a href="HAP004.htm#SSEC003.1">4.3.1</a> 
</dl><p>
<H2><A NAME="idxO">O<t>IteratorPrimitivePermGroups<a ="HAP005.htm#SSEC003.."5.3.3</a>
<dl>
<dt>Obsolete functions <a href="CHAP005.htm#SECT005/dl><>
<dt>obsolete functions, for primitive soluble permutation groups <a href="CHAP005.htm#I16">5.5</a> 
<dt <a href="CHAP002.htm#SSEC003.2">2.3.2</a> 
<dt> <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> 
<java.lang.StringIndexOutOfBoundsException: Range [32, 3) out of bounds for length 75
<OnePrimitiveSolublePermutationGroup=CSSEC005"5<a>
<dt>java.lang.StringIndexOutOfBoundsException: Index 22 out of bounds for length 3
<> <a href".S1>5..<a>
<dtdt>java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 21
</dl><p>dt>LoadedAbsolutelyIrreducibleSolvableGroupData href=#dxF"></>
="idxP"P/>/H2
<dl>
<group,primitive soluble <a href="CHAP005.htm#I3">5.0</a> 
<dt>rimitive pc group,identification <a href="CHAP005.htm#I12">5.<a 
<tprimitivepc group,recognition <a href="CHAP005.htm#I14">5.4</a> 
< properties < href="HAP005.htm#I5">5.2</a> 
<a href><NAME=idxM"M/A></H2
<dt>primitive permutation group, recognition <a href=CHAP005#I15">.</> 
<dtprimitive permutationgroup givenpropertiesa java.lang.StringIndexOutOfBoundsException: Range [64, 62) out of bounds for length 88
<dt>Primitive <matrix <hrefCjava.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 21
<>java.lang.StringIndexOutOfBoundsException: Range [22, 21) out of bounds for length 62
<ivePcGroup href>
<dt> <a href"hSSEC001."5.<a
<java.lang.StringIndexOutOfBoundsException: Range [17, 3) out of bounds for length 87
< <a href"HAP005htm#."4.3<a>
<PrimitivePermGroupIrreducibleMatrixGroupNC <a href="CHAP005.htm#SSEC001.3">5.1.3</a> 
<<=idxO</
<dt>dt>Obsolete functions <a href="CHAP005.htm<obsoletedtjava.lang.StringIndexOutOfBoundsException: Range [27, 24) out of bounds for length 67
<dt>PrimitiveSolublePermGroup <a href="CHAP005.<dt>AllIrreducibleSolvableMatrixGroups <a href="CHAP002.htm#SSEC003.1">2.3.1</a> 
<dt> <<dt>AllPrimitivePcGroups <a href="CHAP0SSEC0021"">.2.1<</> 
<dt>PrimitiveSolvablePermGroup <a href="CHAP005.htm#SSEC001.1">5.1.1</a> 
<t1"551/>
<dt>AllPrimitiveSolvablePermGroupsCjava.lang.StringIndexOutOfBoundsException: Range [56, 55) out of bounds for length 77
<dt> , java.lang.StringIndexOutOfBoundsException: Range [41, 40) out of bounds for length 75
<dl<
<H2><AdtOnePrimitiveSolvablePermGroup=Cjava.lang.StringIndexOutOfBoundsException: Index 51 out of bounds for length 8
<dl>
<dt>Recognising dl>
<ecognition of matrixgroups <a href="CHAP003.htm">3.0</a> 
<dt>recognition/dl<p>
<trecognition,fprimitivepc group<ahref==HAP005hI10"54/a> 
<trecognition,of primitive permutation group<ahref="HAP005.#I11">54<a>
telyIrreducibleSolubleMatrixGroup <a href="CHAP003.htm#SSEC001.5">3.1.5</a> 
<dt>dt>Compatibility with other <a href="CHAP003.htm#SECT002">3.2</a> 
<dt><dt>compatibility with otherdtprimitivepc group recognition < href="CHAP005.htm#I14"54</> 
<java.lang.StringIndexOutOfBoundsException: Range [58, 3) out of bounds for length 98
<dt>RecognitionIrreducibleSolubleMatrixGroup>primitive permutation group, identification <a href="CHAP005.htm#I13">5.4</dt>ConjugatingMatTraceFielda ="HAP004.<dt>primitive permutation group, recognition <a hCHAP005.htm#I15">5.4</a> 
<dt>RecognitionIrreducibleSolubleMatrixGroupNC <a href=<t>rimitive soluble groups <a href="CHAP005.htm">5.0</a> 
< <a=htm.>.4/>
<dtA=><A<H2><=tmjava.lang.StringIndexOutOfBoundsException: Range [50, 49) out of bounds for length 63
<tRecognitionPrimitiveSolubleGroup href"HAP005hSSEC004</> 
<dt>RecognitionPrimitiveSolvableGroup <a href="CHAP005.htm#SSEC004.2">5.4.2</a> 
java.lang.StringIndexOutOfBoundsException: Range [30, 29) out of bounds for length 72
</dl><p>
<H2><A NAME="idxS">S</A></H2>
<dljava.lang.StringIndexOutOfBoundsException: Index 4 out of bounds for length 4
<soluble   a =".I1>.<a> 
<dt>SplittingField <a <dt>egreeOfMatrixGroup<a ="htm#.1>.1dPrimitiveSolublePermutationGroupa "AP005SEC005"551/>java.lang.StringIndexOutOfBoundsException: Index 79 out of bounds for length 79
<> 
</dl><p>
<H2><A NAME=dDimension,forjava.lang.StringIndexOutOfBoundsException: Range [37, 3) out of bounds for length 80
<dl>
<AP004.primitivity    aC.htmI74/ 
</<>
<H2><A NAME="idxU">dt    <href"HAP005<>,  java.lang.StringIndexOutOfBoundsException: Range [34, 33) out of bounds for length 67
<dl>
< <a href="dt>recognition, of primitive permutation group C.htm#">4/>
<dt>java.lang.StringIndexOutOfBoundsException: Range [50, 47) out of bounds for length 90
 <a href"HAP003.tm#SEC003."333/>
<dt> <=.SSEC0015>../>
<dt>java.lang.StringIndexOutOfBoundsException: Index 38 out of bounds for length 8
<HAP003I4>.<>
</dl><p>
<H2><A ="idxV></>/>
<dl>
<dt>Version History <a href="CHAP00A.<dt>RecognitionIrreducibleSolvableMatrix < =C.tm#."31<>
</>p>
<H2><A NAME="idxW">W</<dt>IdAbsolutelyIrreduc < htmSSEC0042>.2<a
<dl>
<, out <href".I6/>p>
java.lang.StringIndexOutOfBoundsException: Index 18 out of bounds for length 8
<href".tm"<a<>
<>
<> < ="java.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 29
</address>dt>ImprimitivitySystemsajava.lang.StringIndexOutOfBoundsException: Range [57, 47) out of bounds for length 90