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

Ysgol Cyfrifiadureg a Pheirianneg

Osmangazi University, Eskisehir

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

42 Wedi eu Llwytho i Lawr (Pure)

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	267-281
Nifer y tudalennau	14
Cyfnodolyn	Journal of Symbolic Computation
Cyfrol	114
Rhif cyhoeddi	Jan-Feb
Dyddiad ar-lein cynnar	4 Mai 2022
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.jsc.2022.04.020
Statws	Cyhoeddwyd - 31 Ion 2023

Mynediad at Ddogfen

10.1016/j.jsc.2022.04.020Trwydded: !!Unspecified

cat2-xs2-finalLlawysgrif awdur wedi’i dderbyn, 325 KBTrwydded: CC BY-NC-ND

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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.",

keywords = "cat2-group, crossed square, GAP, XMod",

author = "Zekeriya Arvasi and Alper Odabas and Wensley, \{Christopher D.\}",

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doi = "10.1016/j.jsc.2022.04.020",

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AU - Arvasi, Zekeriya

AU - Odabas, Alper

AU - Wensley, Christopher D.

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Y1 - 2023/1/31

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

U2 - 10.1016/j.jsc.2022.04.020

DO - 10.1016/j.jsc.2022.04.020

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JO - Journal of Symbolic Computation

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

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