Commutativity degree of crossed modules

Authors: ZEKERİYA ARVASİ, ELİF ILGAZ ÇAĞLAYAN, ALPER ODABAŞ

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.

Keywords: Commutativity degree, crossed module, isoclinic crossed module, GAP

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