Title: Products of conjugacy classes in simple groups
Abstract: Abstract Let G be a finite group. For a ∈ G, let a G = {a g | g ∈ G} be the conjugacy class of a in G. In this paper, we study a conjecture due to Arad and Herzog which asserts that in a finite non-abelian simple group the product of two nontrivial conjugacy classes is never a single conjugacy class. In particular, we will verify this conjecture for several families of finite simple groups of Lie type.
Publication Year: 2011
Publication Date: 2011-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 10
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