Derived Length and Products of Conjugacy Classes

Authors

Edith Adan-Bante, University of Southern MississippiFollow

Document Type

Article

Publication Date

9-19-2008

Abstract

Let G be a supersolvable group and A be a conjugacy class of G. Observe that for some integer η(AA ⁻¹) > 0, AA ⁻¹ = {ab ⁻¹: a, b ∈ A} is the union of η(AA ⁻¹) distinct conjugacy classes of G. Set C _G (A) = {g ∈ G: a ^g = a for all a ∈ A. Then the derived length of G/C _G (A) is less or equal than 2η(AA ⁻¹) − 1.

Publication Title

Israel Journal of Mathematics

Volume

168

Issue

1

First Page

93

Last Page

100

Recommended Citation

Adan-Bante, E. (2008). Derived Length and Products of Conjugacy Classes. Israel Journal of Mathematics, 168(1), 93-100.
Available at: https://aquila.usm.edu/fac_pubs/20885