Autoisoclinism classes and autocommutativity degrees of finite groups

Authors : Mohammad Reza RİSMANCHİAN

Pages : 893-899

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Publication Date : 2015-08-01

Article Type : Research Paper

Abstract :The notion of autoisoclinism was first introduced by Moghaddam et. al., in 2013. In this article we derive more properties of autoisoclinism and define autocommutativity degrees of finite groups. This work also generalizes some results of Lescot in 1995. Among the other results, we determine an upper bound for autocommutativity degree of finite groups. 
Keywords : Autocommutativity degree, Autoabelian, Autoisoclinism, Absolute centre