An extension of Gow’s theorem

We extend Gow’s theorem to finite groups $G$ whose generalized Fitting subgroup is $Z (G) S$ for a quasisimple Lie-type group $S$ of simply connected type in characteristic $p$ , and whose center $Z (G)$ has $p^{'}$ -order.

In memory of our good friend and esteemed colleague Gary Seitz

Keywords

finite groups of Lie type, products of conjugacy classes

Mathematical Subject Classification

Primary: 20C15, 20C33, 20G40

Milestones

Received: 8 April 2024

Revised: 20 October 2024

Accepted: 22 October 2024

Published: 26 May 2025

Authors

Robert M. Guralnick
Department of Mathematics University of Southern California Los Angeles, CA United States

Pham Huu Tiep
Department of Mathematics Rutgers University Piscataway, NJ United States

Open Access made possible by participating institutions via Subscribe to Open.

Vol. 336, No. 1-2, 2025

Robert M. Guralnick and Pham Huu Tiep

Abstract

Keywords

Mathematical Subject Classification

Milestones

Authors