On a question of Zhang

Abstract

When studying the conjugacy class version of the Huppert’s ρ-σ conjecture, Jiping Zhang raised a number theory question. In this article, we provide examples to show that the question raised by Zhang is not always true in general.

Keywords:

• Prime divisors
• Huppert's ρ-σ conjecture

2000 Mathematics Subject Classification:

• 11A41
• 20D60

Additional information

Funding

The first author is supported by a grant from the Simons Foundation (#353329, Dermot McCarthy). The second author is supported by a grant from the Simons Foundation (#499532, Yong Yang).