Computing 3-dimensional groups : crossed squares and cat2-groups

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The category XSq of crossed squares is equivalent to the category Cat2 of cat2-groups. Functions for computing with these structures have been developed in the package XMod written using the GAP computational discrete algebra programming language. This paper contains a table listing the numbers ι2G of isomorphism classes of cat2-groups on groups G of order at most 30 – a total of 1007 cat2- groups. Secondly, it contains general formulae for ι2G in a number of special cases.

Keywords

  • cat2-group, crossed square, GAP, XMod
Original languageEnglish
Pages (from-to)267-281
Number of pages14
JournalJournal of Symbolic Computation
Volume114
Issue numberJan-Feb
Early online date4 May 2022
DOIs
Publication statusPublished - 31 Jan 2023
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