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 language | English |
|---|---|
| Pages (from-to) | 267-281 |
| Number of pages | 14 |
| Journal | Journal of Symbolic Computation |
| Volume | 114 |
| Issue number | Jan-Feb |
| Early online date | 4 May 2022 |
| DOIs | |
| Publication status | Published - 31 Jan 2023 |