Limit points of commuting probabilities of finite groups

被引：0
作者：
Browning, Thomas [1 ,2 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, 970 Evans Hall, Berkeley, CA 94720 USA
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2023年 / 55卷 / 03期
关键词：
ELEMENTS;
D O I：
10.1112/blms.12799
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The commuting probability of a finite group G$G$ is the probability that two randomly chosen elements commute. Let S subset of(0,1]$S\subseteq (0,1]$ denote the set of all possible commuting probabilities of finite groups. We prove that S?{0}$S\cup \lbrace 0\rbrace$ is closed, which was conjectured by Joseph in 1977.
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页码：1392 / 1403
页数：12
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