Simple classical groups of Lie type are determined by their character degrees

Abstract

In this paper, we will show that nonabelian simple classical groups of Lie type are uniquely determined by the structure of their complex group algebras.

10 pages, to appear in Journal of Algebra

References in corpus (2)

• Symmetric groups are determined by their character degrees
• The Simple Ree groups ${}^2{F}_4(q^2)$ are determined by the set of their character degrees

Cited by in corpus (1)

• The Modular Isomorphism Problem: a survey