C about.tex 1. About this package
S 1.1. Acknowledgements
S 1.2. Installation
S 1.3. Verbosity
F 1.3. InfoRDS
F 1.3. DebugRDS
S 1.4. Definitions and Objects
C tutorial.tex 2. AllDiffsets and OneDiffset
C jumpstart.tex 3. A basic example
S 3.1. First Step: Integers instead of group elements
S 3.2. Signatures: An important tool
S 3.3. Change of coset vs. brute force
C startsets.tex 4. General concepts
S 4.1. Introduction
S 4.2. How partial difference sets are represented
S 4.3. Basic functions for startset generation
F 4.3. PermutationRepForDiffsetCalculations
F 4.3. PermutationRepForDiffsetCalculations
F 4.3. IsDiffset
F 4.3. IsDiffset
F 4.3. IsPartialDiffset
F 4.3. IsPartialDiffset
F 4.3. GroupList2PermList
F 4.3. PermList2GroupList
F 4.3. NewPresentables
F 4.3. NewPresentables
F 4.3. NewPresentables
F 4.3. NewPresentables
F 4.3. AllPresentables
F 4.3. AllPresentables
F 4.3. RemainingCompletions
F 4.3. RemainingCompletionsNoSort
F 4.3. ExtendedStartsets
F 4.3. ExtendedStartsetsNoSort
S 4.4. Brute force methods
F 4.4. AllDiffsets
F 4.4. AllDiffsets
F 4.4. AllDiffsets
F 4.4. AllDiffsets
F 4.4. AllDiffsets
F 4.4. AllDiffsetsNoSort
F 4.4. AllDiffsetsNoSort
F 4.4. AllDiffsetsNoSort
F 4.4. AllDiffsetsNoSort
F 4.4. OneDiffset
F 4.4. OneDiffset
F 4.4. OneDiffset
F 4.4. OneDiffset
F 4.4. OneDiffset
F 4.4. OneDiffsetNoSort
F 4.4. OneDiffsetNoSort
F 4.4. OneDiffsetNoSort
F 4.4. OneDiffsetNoSort
C sigs.tex 5. Invariants for Difference Sets
S 5.1. The Coset Signature
F 5.1. CosetSignatureOfSet
F 5.1. CosetSignatures
F 5.1. CosetSignatures
F 5.1. TestSignatureLargeIndex
F 5.1. TestSignatureCyclicFactorGroup
F 5.1. TestedSignatures
I 5.1. InfoRDS@{\fam \ttfam \tentt InfoRDS}
F 5.1. TestedSignaturesRelative
F 5.1. SigInvariant
F 5.1. SignatureDataForNormalSubgroups
F 5.1. RDSFactorGroupData
F 5.1. MatchingFGDataNonGrp
F 5.1. MatchingFGData
F 5.1. ReducedStartsets
F 5.1. ReducedStartsets
F 5.1. maxAutsizeForOrbitCalculation
S 5.2. An invariant for large lambda
F 5.2. MultiplicityInvariantLargeLambda
S 5.3. Blackbox functions
F 5.3. SignatureData
F 5.3. NormalSgsHavingAtMostNSigs
F 5.3. SuitableAutomorphismsForReduction
F 5.3. StartsetsInCoset
C example.tex 6. An Example Program
C orderedsigs.tex 7. Ordered Signatures
S 7.1. Ordered signatures by quotient images
F 7.1. NormalSgsForQuotientImages
F 7.1. DataForQuotientImage
F 7.1. OrderedSigsFromQuotientImages
F 7.1. MatchingFGDataForOrderedSigs
F 7.1. OrderedSigInvariant
S 7.2. Ordered signatures using representations
S 7.3. Definition
S 7.4. Methods for calculating ordered signatures
F 7.4. NormalSubgroupsForRep
F 7.4. OrderedSigs
F 7.4. OrderedSignatureOfSet
C iso.tex 8. Block Designs and Projective Planes
F 8.0. ProjectivePlane
F 8.0. PointJoiningLinesProjectivePlane
F 8.0. DevelopmentOfRDS
F 8.0. ProjectiveClosureOfPointSet
S 8.1. Isomorphisms and Collineations
F 8.1. IsIsomorphismOfProjectivePlanes
F 8.1. IsCollineationOfProjectivePlane
F 8.1. IsomorphismProjPlanesByGenerators
F 8.1. IsomorphismProjPlanesByGeneratorsNC
S 8.2. Central Collineations
F 8.2. ElationByPair
F 8.2. AllElationsCentAx
F 8.2. AllElationsAx
F 8.2. IsTranslationPlane
F 8.2. HomologyByPair
F 8.2. GroupOfHomologies
S 8.3. Collineations on Baer Subplanes
F 8.3. InducedCollineation
S 8.4. Invariants for Projective Planes
F 8.4. NrFanoPlanesAtPoints
F 8.4. IncidenceMatrix
F 8.4. pRank
F 8.4. FingerprintProjPlane
F 8.4. FingerprintAntiFlag
C misc.tex 9. Some functions for everyday use
S 9.1. Groups and actions
F 9.1. OnSubgroups
F 9.1. RepsCClassesGivenOrder
S 9.2. Iterators
F 9.2. CartesianIterator
F 9.2. ConcatenationOfIterators
S 9.3. Lists and Matrices
F 9.3. IsListOfIntegers
F 9.3. List2Tuples
F 9.3. MatTimesTransMat
F 9.3. PartitionByFunctionNF
F 9.3. PartitionByFunction
I 9.3. InfoRDS@{\fam \ttfam \tentt InfoRDS}
S 9.4. Cyclotomic numbers
F 9.4. IsRootOfUnity
F 9.4. CoeffList2CyclotomicList
F 9.4. AbssquareInCyclotomics
F 9.4. CycsGivenCoeffSum
S 9.5. Filters and Categories
F 9.5. IsComputableFilter