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[1X utils [101X
[1X Utility functions in [5XGAP[105X [101X
0.93
13 November 2025
Thomas Breuer
Sebastian Gutsche
Max Horn
Alexander Hulpke
Pedro García-Sánchez
Christopher Jefferson
Stefan Kohl
Frank Lübeck
Chris Wensley
Thomas Breuer
Email: [7Xmailto:sam@math.rwth-aachen.de[107X
Homepage: [7Xhttps://www.math.rwth-aachen.de/~Thomas.Breuer[107X
Sebastian Gutsche
Email: [7Xmailto:gutsche@mathematik.uni-siegen.de[107X
Homepage: [7Xhttps://sebasguts.github.io/[107X
Max Horn
Email: [7Xmailto:mhorn@rptu.de[107X
Homepage: [7Xhttps://github.com/mhorn[107X
Alexander Hulpke
Email: [7Xmailto:hulpke@math.colostate.edu[107X
Homepage: [7Xhttps://www.math.colostate.edu/~hulpke[107X
Pedro García-Sánchez
Email: [7Xmailto:pedro@ugr.es[107X
Homepage: [7Xhttp://www.ugr.es/local/pedro[107X
Christopher Jefferson
Email: [7Xmailto:caj21@st-andrews.ac.uk[107X
Homepage: [7Xhttps://caj.host.cs.st-andrews.ac.uk/[107X
Stefan Kohl
Email: [7Xmailto:stefan@mcs.st-and.ac.uk[107X
Homepage: [7Xhttps://www.gap-system.org/DevelopersPages/StefanKohl/[107X
Frank Lübeck
Email: [7Xmailto:Frank.Luebeck@Math.RWTH-Aachen.De[107X
Homepage: [7Xhttps://www.math.rwth-aachen.de/~Frank.Luebeck[107X
Chris Wensley
Email: [7Xmailto:cdwensley.maths@btinternet.com[107X
Homepage: [7Xhttps://github.com/cdwensley[107X
-------------------------------------------------------
[1XAbstract[101X
[33X[0;0YThe [5XUtils[105X package provides a space for utility functions in a variety of [5XGAP[105X
packages to be collected together into a single package. In this way it is
hoped that they will become more visible to package authors.[133X
[33X[0;0YAny package author who transfers a function to [5XUtils[105X will become an author
of [5XUtils[105X.[133X
[33X[0;0YIf deemed appropriate, functions may also be transferred from the main
library.[133X
[33X[0;0YBug reports, suggestions and comments are, of course, welcome. Please
contact the last author at [7Xmailto:cdwensley.maths@btinternet.com[107X or submit
an issue at the GitHub repository
[7Xhttps://github.com/gap-packages/utils/issues/[107X.[133X
-------------------------------------------------------
[1XCopyright[101X
[33X[0;0Y© 2015-2025, The GAP Group.[133X
[33X[0;0YThe [5XUtils[105X package is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2 of the License, or (at your option)
any later version.[133X
-------------------------------------------------------
[1XAcknowledgements[101X
[33X[0;0YThis documentation was prepared using the [5XGAPDoc[105X [LN17] and [5XAutoDoc[105X [GH16]
packages.[133X
[33X[0;0YThe procedure used to produce new releases uses the package
[5XGitHubPagesForGAP[105X [Hor17] and the package [5XReleaseTools[105X.[133X
-------------------------------------------------------
[1XContents (Utils)[101X
1 [33X[0;0YIntroduction[133X
1.1 [33X[0;0YInformation for package authors[133X
2 [33X[0;0YPrinting Lists and Iterators[133X
2.1 [33X[0;0YPrinting selected items[133X
2.1-1 PrintSelection
3 [33X[0;0YLists, Sets and Strings[133X
3.1 [33X[0;0YFunctions for lists[133X
3.1-1 DifferencesList
3.1-2 QuotientsList
3.1-3 SearchCycle
3.1-4 RandomCombination
3.2 [33X[0;0YDistinct and Common Representatives[133X
3.2-1 DistinctRepresentatives
3.3 [33X[0;0YFunctions for strings[133X
3.3-1 BlankFreeString
4 [33X[0;0YNumber-theoretic functions[133X
4.1 [33X[0;0YFunctions for integers[133X
4.1-1 AllSmoothIntegers
4.1-2 AllProducts
4.1-3 RestrictedPartitionsWithoutRepetitions
4.1-4 NextProbablyPrimeInt
4.1-5 PrimeNumbersIterator
5 [33X[0;0YGroups and homomorphisms[133X
5.1 [33X[0;0YFunctions for groups[133X
5.1-1 Comm
5.1-2 IsCommuting
5.1-3 ListOfPowers
5.1-4 GeneratorsAndInverses
5.1-5 UpperFittingSeries
5.2 [33X[0;0YLeft Cosets for Groups[133X
5.2-1 LeftCoset
5.2-2 [33X[0;0YInverse[133X
5.3 [33X[0;0YFunctions for group homomorphisms[133X
5.3-1 EpimorphismByGenerators
5.3-2 Pullback
5.3-3 CentralProduct
5.3-4 IdempotentEndomorphisms
5.3-5 DirectProductOfFunctions
5.3-6 DirectProductOfAutomorphismGroups
6 [33X[0;0YMatrices[133X
6.1 [33X[0;0YSome operations for matrices[133X
6.1-1 DirectSumDecompositionMatrices
7 [33X[0;0YIterators[133X
7.1 [33X[0;0YSome iterators for groups and their isomorphisms[133X
7.1-1 AllIsomorphismsIterator
7.1-2 AllSubgroupsIterator
7.2 [33X[0;0YOperations on iterators[133X
7.2-1 CartesianIterator
7.2-2 UnorderedPairsIterator
8 [33X[0;0YRecords[133X
8.1 [33X[0;0YFunctions for records[133X
8.1-1 AssignGlobals
8.2 [33X[0;0YOption records for functions[133X
8.2-1 OptionRecordWithDefaults
9 [33X[0;0YWeb Downloads[133X
9.1 [33X[0;0YFunctions for downloading files from the web[133X
9.1-1 Download
9.1-2 [33X[0;0YUser preference [10XDownloadVerifyCertificate[110X[133X
9.1-3 [33X[0;0YUser preference [10XDownloadMaxTime[110X[133X
10 [33X[0;0YVarious other functions[133X
10.1 [33X[0;0YFile operations[133X
10.1-1 Log2HTML
10.2 [33X[0;0YLaTeX strings[133X
10.2-1 IntOrOnfinityToLaTeX
10.2-2 LaTeXStringFactorsInt
10.3 [33X[0;0YConversion to [22XMagma[122X strings[133X
10.3-1 ConvertToMagmaInputString
11 [33X[0;0YObsolete functions[133X
11.1 [33X[0;0YOperations from AutoDoc[133X
11.2 [33X[0;0YFunctions for printing[133X
11.3 [33X[0;0YOther obsolete functions[133X
11.3-1 [33X[0;0YApplicable Methods[133X
11.3-2 [33X[0;0YExponentOfPrime[133X
12 [33X[0;0YThe transfer procedure[133X
[32X
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