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Publicly Available Published by De Gruyter March 1, 2013

Limit points in the range of the commuting probability function on finite groups

Peter Hegarty EMAIL logo
From the journal Journal of Group Theory

Abstract.

If G is a finite group, then denotes the fraction of ordered pairs of elements of G which commute. We show that if is a limit point of the function Pr on finite groups, then and there exists an such that for any finite group G. These results lend support to some old conjectures of Keith Joseph.

Received: 2012-07-03
Revised: 2012-11-10
Published Online: 2013-03-01
Published in Print: 2013-03-01

© 2013 by Walter de Gruyter Berlin Boston

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