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A Generalization of Commutativity Degree of Finite Groups |
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| Authors: | Ashish Kumar Das Rajat Kanti Nath |
| Institution: | 1. Department of Mathematics , North-Eastern Hill University, Permanent Campus , Shillong , Meghalaya , India akdasnehu@gmail.com;3. Department of Mathematics , North-Eastern Hill University, Permanent Campus , Shillong , Meghalaya , India |
| Abstract: | The commutativity degree of a finite group is the probability that two arbitrarily chosen group elements commute. This notion has been generalized in a number of ways. The object of this article is to study yet another generalization of the same notion, which further extends some of the existing generalizations. |
| Keywords: | Commutativity degree Finite groups Group characters |