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arXiv · 1911.12799

Computing 3-Dimensional Groups : Crossed Squares and Cat$^2$-Groups

Zekeriya Arvasi·Alper Odabaş·Christopher D. Wensley
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Abstract

The category $\mathbf{XSq}$ of crossed squares is equivalent to the category $\mathbf{Cat2}$ of cat$^2$-groups. Functions for computing with these structures have been developed in the package $\mathsf{XMod}$ written using the $\mathsf{GAP}$ computational discrete algebra programming language. This paper includes details of the algorithms used. It contains tables listing the $1,000$ isomorphism classes of cat$^2$-groups on groups of order at most $30$.

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Zekeriya Arvasi, Alper Odabaş, Christopher D. Wensley. 2019-11-28. Computing 3-Dimensional Groups : Crossed Squares and Cat$^2$-Groups. https://arxiv.org/abs/1911.12799

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