On Commutativity Degree of Crossed Modules


Somayeh Amini, Shahram Heidarian, Farhad Khaksar Haghani




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.