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The Commutativity Degree in the Class of Nonabelian Groups of Same Order

Rostami, Hojjat

  • Received : 2017.07.30
  • Accepted : 2019.04.23
  • Published : 2019.06.23

Abstract

The commutativity degree of a finite group is the probability that two randomly chosen group elements commute. In this paper we give a sharp upper bound of commutativity degree of nonabelial groups in terms of their order.

Keywords

finite group;commutativity degree;nonnilpotent