<
html><
head><
title>rds : a GAP
4 package - Index </
title></
head>
<
body text=
"#000000" bgcolor=
"#ffffff">
<
h1><
font face=
"Gill Sans,Helvetica,Arial">rds</
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=
"#idxE">E</A>
<a href=
"#idxF">F</A>
<a href=
"#idxG">G</A>
<a href=
"#idxH">H</A>
<a href=
"#idxI">I</A>
<a href=
"#idxL">L</A>
<a href=
"#idxM">M</A>
<a href=
"#idxN">N</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=
"#idxV">V</A>
<H2><A NAME=
"idxA">A</A></H2>
<
dl>
<
dt>A basic example <a href=
"CHAP003.htm">
3.
0</a>
<
dt>About this package <a href=
"CHAP001.htm">
1.
0</a>
<
dt>AbssquareInCyclotomics <a href=
"CHAP009.htm#SSEC004.3">
9.
4.
3</a>
<
dt>Acknowledgements <a href=
"CHAP001.htm#SECT001">
1.
1</a>
<
dt>AllDiffsets <a href=
"CHAP004.htm#SSEC004.1">
4.
4.
1</a>
<
dt>AllDiffsets and OneDiffset <a href=
"CHAP002.htm">
2.
0</a>
<
dt>AllDiffsetsNoSort <a href=
"CHAP004.htm#SSEC004.2">
4.
4.
2</a>
<
dt>AllElationsAx <a href=
"CHAP008.htm#SSEC002.3">
8.
2.
3</a>
<
dt>AllElationsCentAx <a href=
"CHAP008.htm#SSEC002.2">
8.
2.
2</a>
<
dt>AllPresentables <a href=
"CHAP004.htm#SSEC003.7">
4.
3.
7</a>
<
dt>An Example Program <a href=
"CHAP006.htm">
6.
0</a>
<
dt>An invariant for large lambda <a href=
"CHAP005.htm#SECT002">
5.
2</a>
</
dl><p>
<H2><A NAME=
"idxB">B</A></H2>
<
dl>
<
dt>Basic functions for startset generation <a href=
"CHAP004.htm#SECT003">
4.
3</a>
<
dt>Blackbox functions <a href=
"CHAP005.htm#SECT003">
5.
3</a>
<
dt>Block Designs and Projective Planes <a href=
"CHAP008.htm">
8.
0</a>
<
dt>Brute force methods <a href=
"CHAP004.htm#SECT004">
4.
4</a>
</
dl><p>
<H2><A NAME=
"idxC">C</A></H2>
<
dl>
<
dt>CartesianIterator <a href=
"CHAP009.htm#SSEC002.1">
9.
2.
1</a>
<
dt>Central Collineations <a href=
"CHAP008.htm#SECT002">
8.
2</a>
<
dt>Change of coset vs. brute force <a href=
"CHAP003.htm#SECT003">
3.
3</a>
<
dt>CoeffList2CyclotomicList <a href=
"CHAP009.htm#SSEC004.2">
9.
4.
2</a>
<
dt>Collineations on Baer Subplanes <a href=
"CHAP008.htm#SECT003">
8.
3</a>
<
dt>ConcatenationOfIterators <a href=
"CHAP009.htm#SSEC002.2">
9.
2.
2</a>
<
dt>CosetSignatureOfSet <a href=
"CHAP005.htm#SSEC001.1">
5.
1.
1</a>
<
dt>CosetSignatures <a href=
"CHAP005.htm#SSEC001.2">
5.
1.
2</a>
<
dt>Cyclotomic numbers <a href=
"CHAP009.htm#SECT004">
9.
4</a>
<
dt>CycsGivenCoeffSum <a href=
"CHAP009.htm#SSEC004.4">
9.
4.
4</a>
</
dl><p>
<H2><A NAME=
"idxD">D</A></H2>
<
dl>
<
dt>DataForQuotientImage <a href=
"CHAP007.htm#SSEC001.2">
7.
1.
2</a>
<
dt>DebugRDS <a href=
"CHAP001.htm#SSEC003.2">
1.
3.
2</a>
<
dt>Definition <a href=
"CHAP007.htm#SECT003">
7.
3</a>
<
dt>Definitions and Objects <a href=
"CHAP001.htm#SECT004">
1.
4</a>
<
dt>DevelopmentOfRDS <a href=
"CHAP008.htm#">
8.
0</a>
</
dl><p>
<H2><A NAME=
"idxE">E</A></H2>
<
dl>
<
dt>ElationByPair <a href=
"CHAP008.htm#SSEC002.1">
8.
2.
1</a>
<
dt>ExtendedStartsets <a href=
"CHAP004.htm#SSEC003.9">
4.
3.
9</a>
<
dt>ExtendedStartsetsNoSort <a href=
"CHAP004.htm#SSEC003.9">
4.
3.
9</a>
</
dl><p>
<H2><A NAME=
"idxF">F</A></H2>
<
dl>
<
dt>Filters and Categories <a href=
"CHAP009.htm#SECT005">
9.
5</a>
<
dt>FingerprintAntiFlag <a href=
"CHAP008.htm#SSEC004.5">
8.
4.
5</a>
<
dt>FingerprintProjPlane <a href=
"CHAP008.htm#SSEC004.4">
8.
4.
4</a>
<
dt>First Step: Integers instead of group elements <a href=
"CHAP003.htm#SECT001">
3.
1</a>
</
dl><p>
<H2><A NAME=
"idxG">G</A></H2>
<
dl>
<
dt>General concepts <a href=
"CHAP004.htm">
4.
0</a>
<
dt>GroupList2PermList <a href=
"CHAP004.htm#SSEC003.4">
4.
3.
4</a>
<
dt>GroupOfHomologies <a href=
"CHAP008.htm#SSEC002.6">
8.
2.
6</a>
<
dt>Groups and actions <a href=
"CHAP009.htm#SECT001">
9.
1</a>
</
dl><p>
<H2><A NAME=
"idxH">H</A></H2>
<
dl>
<
dt>HomologyByPair <a href=
"CHAP008.htm#SSEC002.5">
8.
2.
5</a>
<
dt>How partial difference sets are represented <a href=
"CHAP004.htm#SECT002">
4.
2</a>
</
dl><p>
<H2><A NAME=
"idxI">I</A></H2>
<
dl>
<
dt>IncidenceMatrix <a href=
"CHAP008.htm#SSEC004.2">
8.
4.
2</a>
<
dt>InducedCollineation <a href=
"CHAP008.htm#SSEC003.1">
8.
3.
1</a>
<
dt>InfoRDS <a href=
"CHAP001.htm#SSEC003.1">
1.
3.
1</a>
<
dt>Installation <a href=
"CHAP001.htm#SECT002">
1.
2</a>
<
dt>Introduction <a href=
"CHAP004.htm#SECT001">
4.
1</a>
<
dt>Invariants for Difference Sets <a href=
"CHAP005.htm">
5.
0</a>
<
dt>Invariants for Projective Planes <a href=
"CHAP008.htm#SECT004">
8.
4</a>
<
dt>IsCollineationOfProjectivePlane <a href=
"CHAP008.htm#SSEC001.2">
8.
1.
2</a>
<
dt>IsComputableFilter <a href=
"CHAP009.htm#SSEC005.1">
9.
5.
1</a>
<
dt>IsDiffset <a href=
"CHAP004.htm#SSEC003.2">
4.
3.
2</a>
<
dt>IsIsomorphismOfProjectivePlanes <a href=
"CHAP008.htm#SSEC001.1">
8.
1.
1</a>
<
dt>IsListOfIntegers <a href=
"CHAP009.htm#SSEC003.1">
9.
3.
1</a>
<
dt>IsomorphismProjPlanesByGenerators <a href=
"CHAP008.htm#SSEC001.3">
8.
1.
3</a>
<
dt>IsomorphismProjPlanesByGeneratorsNC <a href=
"CHAP008.htm#SSEC001.3">
8.
1.
3</a>
<
dt>Isomorphisms and Collineations <a href=
"CHAP008.htm#SECT001">
8.
1</a>
<
dt>IsPartialDiffset <a href=
"CHAP004.htm#SSEC003.3">
4.
3.
3</a>
<
dt>IsRootOfUnity <a href=
"CHAP009.htm#SSEC004.1">
9.
4.
1</a>
<
dt>IsTranslationPlane <a href=
"CHAP008.htm#SSEC002.4">
8.
2.
4</a>
<
dt>Iterators <a href=
"CHAP009.htm#SECT002">
9.
2</a>
</
dl><p>
<H2><A NAME=
"idxL">L</A></H2>
<
dl>
<
dt>List2Tuples <a href=
"CHAP009.htm#SSEC003.2">
9.
3.
2</a>
<
dt>Lists and Matrices <a href=
"CHAP009.htm#SECT003">
9.
3</a>
</
dl><p>
<H2><A NAME=
"idxM">M</A></H2>
<
dl>
<
dt>MatchingFGData <a href=
"CHAP005.htm#SSEC001.11">
5.
1.
11</a>
<
dt>MatchingFGDataForOrderedSigs <a href=
"CHAP007.htm#SSEC001.4">
7.
1.
4</a>
<
dt>MatchingFGDataNonGrp <a href=
"CHAP005.htm#SSEC001.10">
5.
1.
10</a>
<
dt>MatTimesTransMat <a href=
"CHAP009.htm#SSEC003.3">
9.
3.
3</a>
<
dt>Methods for calculating ordered signatures <a href=
"CHAP007.htm#SECT004">
7.
4</a>
<
dt>MultiplicityInvariantLargeLambda <a href=
"CHAP005.htm#SSEC002.1">
5.
2.
1</a>
</
dl><p>
<H2><A NAME=
"idxN">N</A></H2>
<
dl>
<
dt>NewPresentables <a href=
"CHAP004.htm#SSEC003.6">
4.
3.
6</a>
<
dt>NormalSgsForQuotientImages <a href=
"CHAP007.htm#SSEC001.1">
7.
1.
1</a>
<
dt>NormalSgsHavingAtMostNSigs <a href=
"CHAP005.htm#SSEC003.2">
5.
3.
2</a>
<
dt>NormalSubgroupsForRep <a href=
"CHAP007.htm#SSEC004.1">
7.
4.
1</a>
<
dt>NrFanoPlanesAtPoints <a href=
"CHAP008.htm#SSEC004.1">
8.
4.
1</a>
</
dl><p>
<H2><A NAME=
"idxO">O</A></H2>
<
dl>
<
dt>OneDiffset <a href=
"CHAP004.htm#SSEC004.3">
4.
4.
3</a>
<
dt>OneDiffsetNoSort <a href=
"CHAP004.htm#SSEC004.4">
4.
4.
4</a>
<
dt>OnSubgroups <a href=
"CHAP009.htm#SSEC001.1">
9.
1.
1</a>
<
dt>Ordered Signatures <a href=
"CHAP007.htm">
7.
0</a>
<
dt>Ordered signatures by quotient images <a href=
"CHAP007.htm#SECT001">
7.
1</a>
<
dt>Ordered signatures using representations <a href=
"CHAP007.htm#SECT002">
7.
2</a>
<
dt>OrderedSigInvariant <a href=
"CHAP007.htm#SSEC001.5">
7.
1.
5</a>
<
dt>OrderedSignatureOfSet <a href=
"CHAP007.htm#SSEC004.3">
7.
4.
3</a>
<
dt>OrderedSigs <a href=
"CHAP007.htm#SSEC004.2">
7.
4.
2</a>
<
dt>OrderedSigsFromQuotientImages <a href=
"CHAP007.htm#SSEC001.3">
7.
1.
3</a>
</
dl><p>
<H2><A NAME=
"idxP">P</A></H2>
<
dl>
<
dt>PartitionByFunction <a href=
"CHAP009.htm#SSEC003.5">
9.
3.
5</a>
<
dt>PartitionByFunctionNF <a href=
"CHAP009.htm#SSEC003.4">
9.
3.
4</a>
<
dt>PermList2GroupList <a href=
"CHAP004.htm#SSEC003.5">
4.
3.
5</a>
<
dt>PermutationRepForDiffsetCalculations <a href=
"CHAP004.htm#SSEC003.1">
4.
3.
1</a>
<
dt>PointJoiningLinesProjectivePlane <a href=
"CHAP008.htm#">
8.
0</a>
<
dt>ProjectiveClosureOfPointSet <a href=
"CHAP008.htm#">
8.
0</a>
<
dt>ProjectivePlane <a href=
"CHAP008.htm#">
8.
0</a>
</
dl><p>
<H2><A NAME=
"idxR">R</A></H2>
<
dl>
<
dt>RDS_MaxAutsizeForOrbitCalculation <a href=
"CHAP005.htm#SSEC001.13">
5.
1.
13</a>
<
dt>RDS_PRank <a href=
"CHAP008.htm#SSEC004.3">
8.
4.
3</a>
<
dt>RDSFactorGroupData <a href=
"CHAP005.htm#SSEC001.9">
5.
1.
9</a>
<
dt>ReducedStartsets <a href=
"CHAP005.htm#SSEC001.12">
5.
1.
12</a>
<
dt>RemainingCompletions <a href=
"CHAP004.htm#SSEC003.8">
4.
3.
8</a>
<
dt>RemainingCompletionsNoSort <a href=
"CHAP004.htm#SSEC003.8">
4.
3.
8</a>
<
dt>RepsCClassesGivenOrder <a href=
"CHAP009.htm#SSEC001.2">
9.
1.
2</a>
</
dl><p>
<H2><A NAME=
"idxS">S</A></H2>
<
dl>
<
dt>SigInvariant <a href=
"CHAP005.htm#SSEC001.7">
5.
1.
7</a>
<
dt>SignatureData <a href=
"CHAP005.htm#SSEC003.1">
5.
3.
1</a>
<
dt>SignatureDataForNormalSubgroups <a href=
"CHAP005.htm#SSEC001.8">
5.
1.
8</a>
<
dt>Signatures: An important tool <a href=
"CHAP003.htm#SECT002">
3.
2</a>
<
dt>Some functions for everyday use <a href=
"CHAP009.htm">
9.
0</a>
<
dt>StartsetsInCoset <a href=
"CHAP005.htm#SSEC003.4">
5.
3.
4</a>
<
dt>SuitableAutomorphismsForReduction <a href=
"CHAP005.htm#SSEC003.3">
5.
3.
3</a>
</
dl><p>
<H2><A NAME=
"idxT">T</A></H2>
<
dl>
<
dt>TestedSignatures <a href=
"CHAP005.htm#SSEC001.5">
5.
1.
5</a>
<
dt>TestedSignaturesRelative <a href=
"CHAP005.htm#SSEC001.6">
5.
1.
6</a>
<
dt>TestSignatureCyclicFactorGroup <a href=
"CHAP005.htm#SSEC001.4">
5.
1.
4</a>
<
dt>TestSignatureLargeIndex <a href=
"CHAP005.htm#SSEC001.3">
5.
1.
3</a>
<
dt>The Coset Signature <a href=
"CHAP005.htm#SECT001">
5.
1</a>
</
dl><p>
<H2><A NAME=
"idxV">V</A></H2>
<
dl>
<
dt>Verbosity <a href=
"CHAP001.htm#SECT003">
1.
3</a>
</
dl><p>
[<a href=
"chapters.htm">Up</a>]<p>
<P>
<
address>rds manual<
br>September
2025
</
address></
body></
html>
