Conjugacy Classes of Triple Products in Finite Groups
نویسندگان
چکیده
Let G be a finite group and let T1 denote the number of times a triple (x, y, z) ∈ G3 binds X, where X = {xyz, xzy, yxz, yzx, zxy, zyx}, to one conjugacy class. Let T2 denote the number of times a triple in G3 breaks X into two conjugacy classes. We have established the following results: i) the probability that a triple (x, y, z) ∈ D3 n binds X to one conjugacy class is ≥ 58 . ii) for groups such that 2|Z(G)||G′| = |G|, T2 ≥ 3(|Z(G)|)3|G′|(|G′| − 1)2.
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تاریخ انتشار 1999