Autocommuting probability of a finite group
نویسندگان
چکیده
منابع مشابه
On Probability of Generating a Finite Group
Let G be a finite group, and let φk(G) be the probability that k random group elements generate G. Denote by θ(G) the smallest k such that φk(G) > 1/e. In this paper we analyze quantity θ(G) for different classes of groups. We prove that θ(G) ≤ κ(G)+ 1 when G is nilpotent and κ(G) is the minimal number of generators of G. When G is solvable we show that θ(G) ≤ 3.25κ(G) + 107. We also show that ...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2017
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2017.1332201