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

Zekeriya Arvasi; Alper Odabas; Christopher D. Wensley

doi:10.1016/j.jsc.2022.04.020

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

Zekeriya Arvasi
, Alper Odabas
, Christopher D. Wensley

School of Computer Science & Engineering

Osmangazi University, Eskisehir

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

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	https://doi.org/10.1016/j.jsc.2022.04.020
Publication status	Published - 31 Jan 2023

Keywords

cat2-group
crossed square
GAP
XMod

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title = "Computing 3-dimensional groups : crossed squares and cat2-groups",

abstract = "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.",

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AU - Wensley, Christopher D.

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N2 - 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.

AB - 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.

KW - cat2-group

KW - crossed square

KW - GAP

KW - XMod

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DO - 10.1016/j.jsc.2022.04.020

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JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

IS - Jan-Feb

ER -

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

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Keywords

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