Commutativity degree of a class of finite groups and consequences

Authors

  • R. K. Nath Tezpur University

Keywords:

finite groups, commutativity degree

Abstract

The commutativity degree of a finite group is the probability that two randomly chosen group elements commute. The object of this paper is to compute the commutativity degree of a class of finite groups obtained by semidirect product of two finite cyclic groups. As a by-product of our result, we provide affirmative answer to an open question posed by P. Lescot. 10.1017/S0004972712001086

Published

2013-09-27

Issue

Vol. 88 No. 3 (2013)

Section

Articles
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