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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus

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Volume 16, Issue 2


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

Peter Hegarty
  • Department of Mathematical Sciences, Chalmers University Of Technology and University of Gothenburg, 41296 Gothenburg, Sweden
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Published Online: 2013-03-01 | DOI: https://doi.org/10.1515/jgt-2012-0040


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.

About the article

Received: 2012-07-03

Revised: 2012-11-10

Published Online: 2013-03-01

Published in Print: 2013-03-01

Citation Information: Journal of Group Theory, Volume 16, Issue 2, Pages 235–247, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2012-0040.

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