A reduction theorem for the Feit conjecture
Representation Theory
2025-07-29 v1
Abstract
We prove that if all the simple groups involved in a finite group satisfy the `inductive Feit condition', then Walter Feit's conjecture from 1980 holds for . In particular, this would solve Brauer's Problem 41 from 1963 in the affirmative. This inductive Feit condition implies that some features of all the irreducible characters of finite groups can be found locally.
Keywords
Cite
@article{arxiv.2507.19618,
title = {A reduction theorem for the Feit conjecture},
author = {Robert Boltje and Alexander Kleshchev and Gabriel Navarro and Pham Huu Tiep},
journal= {arXiv preprint arXiv:2507.19618},
year = {2025}
}
Comments
52 pages