The irreducible Brauer characters of the automorphism group of the Chevalley group F_4(2)

TL;DR

This paper uses computational techniques to identify the irreducible Brauer characters of the automorphism group of the Chevalley group F_4(2), addressing a specific parameter and consistency challenge.

Contribution

It provides the first detailed computational determination of these characters, advancing understanding of the group's modular representation theory.

Findings

Identified most irreducible Brauer characters of the automorphism group

Resolved a key parameter and consistency issue in the character determination

Contributed to the classification of modular representations of Chevalley groups

Abstract

Using computational methods, we determine the irreducible Brauer characters of the automorphism group of the Chevalley group F_4(2), up to one parameter and one consistency issue.