Picky elements, subnormalisers, and character correspondences
Group Theory
2025-10-01 v2 Representation Theory
Abstract
We gather evidence on a new local-global conjecture of Moret\'o and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in finite groups of Lie type and determine them in many cases, for unipotent elements as well as for semisimple elements of prime power order. We also discuss subnormalisers of unipotent and semisimple elements in connected as well as in disconnected reductive linear algebraic groups.
Cite
@article{arxiv.2503.10425,
title = {Picky elements, subnormalisers, and character correspondences},
author = {Gunter Malle},
journal= {arXiv preprint arXiv:2503.10425},
year = {2025}
}
Comments
accepted version