论文标题
有限组的通勤概率的限制点
Limit Points of Commuting Probabilities of Finite Groups
论文作者
论文摘要
有限组$ g $的通勤概率是两个随机选择的元素通勤的可能性。令$ s \ subseteq（0,1] $表示有限组的所有可能通勤概率的集合。我们证明$ s \ cup \ {0 \} $已关闭，这是由基思·约瑟夫（Keith Joseph）于1977年猜想的。
The commuting probability of a finite group $G$ is the probability that two randomly chosen elements commute. Let $S\subseteq(0,1]$ denote the set of all possible commuting probabilities of finite groups. We prove that $S\cup\{0\}$ is closed, which was conjectured by Keith Joseph in 1977.
