Limit points of commuting probabilities of finite groups

Thomas Browning

Type: Article

Publication Date: 2023-01-22

Citations: 1

DOI: https://doi.org/10.1112/blms.12799

Abstract

Abstract The commuting probability of a finite group is the probability that two randomly chosen elements commute. Let denote the set of all possible commuting probabilities of finite groups. We prove that is closed, which was conjectured by Joseph in 1977.

Locations

Bulletin of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (1)

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+ PDF Chat	A note on square-free commuting probabilities of finite rings	2022	Andrew R. Mendelsohn

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	Limit points in the range of the commuting probability function on finite groups	2012	Peter Hegarty
+	Two Combinatorial Problems in Group Theory	1989	Peter Neumann
+ PDF Chat	What is the probability that two elements of a finite group commute?	1979	D. Rusin
+	Several Conjectures on Commutativity in Algebraic Structures	1977	K Joseph
+	What is the Probability that Two Group Elements Commute?	1973	William H. Gustafson
+	A CHARACTERISATION OF CERTAIN FINITE GROUPS OF ODD ORDER	2011	Ashish Kumar Das Rajat Kanti Nath