Characters and the generation of Sylow 3-subgroups for almost simple groups
Abstract
Given an almost simple group $A$, we algorithmically show that the character table of $A$ determines whether or not the Sylow 3-subgroups of $A$ are 2-generated. We show this property is equivalent to a condition involving the Galois action on characters in the principal $3$-block. This would be a consequence of the Alperin-McKay-Navarro conjecture.
Fields of Study & Subjects
Finite Group Theory Research
Geometric and Algebraic Topology
Limits and Structures in Graph Theory
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 701
- Pages
- 154–178
- Publication date
- 24 April 2026
- Language
- EN