Subnormalisers of semisimple elements in finite groups of Lie type
Group Theory
2025-12-02 v2 Representation Theory
Abstract
We determine subnormalisers of semisimple elements of prime power order in finite quasi-simple groups of Lie type. For this, we determine the maximal overgroups of normalisers of Sylow tori. This is motivated by the recent character correspondence conjecture by Moret\'o and Rizo as well as by the question of existence of quasi-semiregular elements in finite permutation groups.
Keywords
Cite
@article{arxiv.2511.01557,
title = {Subnormalisers of semisimple elements in finite groups of Lie type},
author = {Gunter Malle},
journal= {arXiv preprint arXiv:2511.01557},
year = {2025}
}
Comments
added section 4.5 on algebraic groups