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Original Articles

A Generalization of Commutativity Degree of Finite Groups

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Pages 1974-1981 | Received 29 Oct 2010, Published online: 15 Jun 2012
 

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.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors are grateful for the helpful suggestions of the referee.

Notes

Communicated by D. Macpherson.

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