On Commutativity Degree of Crossed Modules
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Authors: S. AMINI, S. HEIDARIAN AND F. K. HAGHANI
DOI: 10.46793/KgJMat2405.713A
Abstract:
In this paper, we define and study the notion of commutativity degree of finite crossed modules. We shall state some results concerning commutativity degree of crossed modules and obtain some upper and lower bounds for commutativity degree of finite crossed modules. Finally we show that, if two crossed modules are isoclinic, then they have the same commutativity degree.
Keywords:
Crossed module, commutativity degree, isoclinism.
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