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

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Computing 3-dimensional groups : crossed squares and cat2-groups. / Arvasi, Zekeriya; Odabas, Alper; Wensley, Christopher D.
In: Journal of Symbolic Computation, Vol. 114, No. Jan-Feb, 31.01.2023, p. 267-281.

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

HarvardHarvard

Arvasi, Z, Odabas, A & Wensley, CD 2023, 'Computing 3-dimensional groups : crossed squares and cat2-groups', Journal of Symbolic Computation, vol. 114, no. Jan-Feb, pp. 267-281. https://doi.org/10.1016/j.jsc.2022.04.020

APA

Arvasi, Z., Odabas, A., & Wensley, C. D. (2023). Computing 3-dimensional groups : crossed squares and cat2-groups. Journal of Symbolic Computation, 114(Jan-Feb), 267-281. https://doi.org/10.1016/j.jsc.2022.04.020

CBE

Arvasi Z, Odabas A, Wensley CD. 2023. Computing 3-dimensional groups : crossed squares and cat2-groups. Journal of Symbolic Computation. 114(Jan-Feb):267-281. https://doi.org/10.1016/j.jsc.2022.04.020

MLA

Arvasi, Zekeriya, Alper Odabas and Christopher D. Wensley. "Computing 3-dimensional groups : crossed squares and cat2-groups". Journal of Symbolic Computation. 2023, 114(Jan-Feb). 267-281. https://doi.org/10.1016/j.jsc.2022.04.020

VancouverVancouver

Arvasi Z, Odabas A, Wensley CD. Computing 3-dimensional groups : crossed squares and cat2-groups. Journal of Symbolic Computation. 2023 Jan 31;114(Jan-Feb):267-281. Epub 2022 May 4. doi: 10.1016/j.jsc.2022.04.020

Author

Arvasi, Zekeriya ; Odabas, Alper ; Wensley, Christopher D. / Computing 3-dimensional groups : crossed squares and cat2-groups. In: Journal of Symbolic Computation. 2023 ; Vol. 114, No. Jan-Feb. pp. 267-281.

RIS

TY - JOUR

T1 - Computing 3-dimensional groups : crossed squares and cat2-groups

AU - Arvasi, Zekeriya

AU - Odabas, Alper

AU - Wensley, Christopher D.

PY - 2023/1/31

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

M3 - Article

VL - 114

SP - 267

EP - 281

JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

SN - 0747-7171

IS - Jan-Feb

ER -