Hall-Higman type theorems for exceptional groups of Lie type, I
Representation Theory
2021-06-08 v1 Group Theory
Abstract
The paper studies the minimum polynomial degrees of -elements in cross-characteristic representations of simple groups of exceptional Lie type whose BN-pair rank is at most 2. Specifically, we prove that the degree in question equals the order of the element.
Keywords
Cite
@article{arxiv.2106.03224,
title = {Hall-Higman type theorems for exceptional groups of Lie type, I},
author = {Pham Huu Tiep and A. E. Zalesski},
journal= {arXiv preprint arXiv:2106.03224},
year = {2021}
}