Vol. 82, No. 1, 1979

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What is the probability that two elements of a finite group commute?

David Rusin

Vol. 82 (1979), No. 1, 237–247
Abstract

We consider the probability that two elements of a finite group commute. Explicit computations are obtained for groups G with GZ(G) and G′∩Z(G) = {1}. We classify the groups for which this probability is above 11/32.

Mathematical Subject Classification 2000
Primary: 20D99
Milestones
Received: 17 March 1978
Revised: 11 September 1978
Published: 1 May 1979
Authors
David Rusin
Department of Mathematics
University of Texas
1 University Station C1200
Austin TX 78712-0257
United States