Title

Conjugacy Classes and Finite P-Groups

Document Type

Article

Publication Date

10-1-2005

Department

Mathematics

Abstract

Let G be a finite p-group, where p is a prime number, and aG. Denote by Cl(a) = {gag−1| gG} the conjugacy class of a in G. Assume that |Cl(a)| = p n . Then Cl(a) Cl(a−1) = {xy | x ∈ Cl(a), yCl(a−1)} is the union of at least n(p − 1) + 1 distinct conjugacy classes of G.

Publication Title

Archiv der Mathematik

Volume

85

Issue

4

First Page

297

Last Page

303

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