Article
KYUNGPOOK Math. J. 2019; 59(2): 203-207
Published online June 23, 2019
Copyright © Kyungpook Mathematical Journal.
The Commutativity Degree in the Class of Nonabelian Groups of Same Order
Hojjat Rostami
Department of Education, Molla Sadra Teaching and Training Research Center, Zanjan 13858899, Iran
h.rostami5991@gmail.com
Received: July 30, 2017; Revised: March 29, 2019; Accepted: April 23, 2019
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.