Products of Conjugacy Classes

A rigid triple of conjugacy classes in G 2

by Alastair Litterick

Products of conjugacy classes in simple groups

by Hung Phi Tong-Viet

Co-authored with J. Moori. To appear in QM.

In this paper, we study a conjecture due to
Arad and Herzog which asserts that in a finite non-abelian simple... more 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