Computing exterior isoclinism of crossed modules

Authors

ZEKERİYA ARVASİFollow
ALPER ODABAŞFollow

Author ORCID Identifier

ZEKERİYA ARVASİ: 0000-0002-1974-315X

ALPER ODABAŞ: 0000-0002-4361-3056

DOI

10.55730/1300-0098.3558

Abstract

In this paper, we introduce exterior isoclinism for crossed modules, extending the concept of isoclinism from groups to these 2-dimensional algebraic structures. Motivated by work on tensor and exterior products of non-abelian groups, we utilize non-abelian exterior products, exterior squares, and exterior centers to define this new equivalence relation. Additionally, we provide computational tools implemented in the GAP system to identify exterior isoclinism families of small groups and crossed modules.

Keywords

Exterior isoclinism, Crossed module, GAP

First Page

1024

Last Page

1036

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ARVASİ, ZEKERİYA and ODABAŞ, ALPER (2024) "Computing exterior isoclinism of crossed modules," Turkish Journal of Mathematics: Vol. 48: No. 6, Article 3. https://doi.org/10.55730/1300-0098.3558
Available at: https://journals.tubitak.gov.tr/math/vol48/iss6/3