Abstract

In this work, we define the notion of commutativity degree of crossed modules and find some bounds on commutativity degree for special types of crossed modules. Also, we give a function for finding commutativity degree of crossed modules in GAP and classify crossed modules by using this function.

DOI

10.3906/mat-2109-64

Keywords

Commutativity degree, crossed module, isoclinic crossed module, GAP

First Page

242

Last Page

256

Recommended Citation

ARVASİ, Z, ÇAĞLAYAN, E. I, & ODABAŞ, A (2022). Commutativity degree of crossed modules. Turkish Journal of Mathematics 46 (1): 242-256. https://doi.org/10.3906/mat-2109-64

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