منابع مشابه
On the Commuting Probability in Finite Groups
Introduction: When G is a finite group, we may endow G×G with the structure of a probability space by assigning the uniform distribution. As was pointed out by W.H. Gustafson [10], the probability that a randomly chosen pair of elements of G commute is then k(G) |G| , where k(G) is the number of conjugacy classes of G. We denote this probability by cp(G). It was also noted in [10] that cp(G) ≤ ...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2017
ISSN: 0019-3577
DOI: 10.1016/j.indag.2016.10.002