Limit points of commuting probabilities of finite groups
نویسندگان
چکیده
The commuting probability of a finite group G $G$ is the that two randomly chosen elements commute. Let S ⊆ ( 0 , 1 ] $S\subseteq (0,1]$ denote set all possible probabilities groups. We prove ∪ { } $S\cup \lbrace 0\rbrace$ closed, which was conjectured by Joseph in 1977.
منابع مشابه
commuting and non -commuting graphs of finit groups
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ژورنال
عنوان ژورنال: Bulletin of The London Mathematical Society
سال: 2023
ISSN: ['1469-2120', '0024-6093']
DOI: https://doi.org/10.1112/blms.12799