Conjugacy Classes and Finite P-Groups

Authors

Edith Adan-Bante, University of Southern MississippiFollow

Document Type

Article

Publication Date

10-1-2005

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

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

Comments

Published by Archiv der Mathematik. DOI: 10.1007/s00013-005-1398-7

Publication Title

Archiv der Mathematik

Volume

85

Issue

4

First Page

297

Last Page

303

Recommended Citation

Adan-Bante, E. (2005). Conjugacy Classes and Finite P-Groups. Archiv der Mathematik, 85(4), 297-303.
Available at: https://aquila.usm.edu/fac_pubs/2632