Maximal order Abelian subgroups of Coxeter groups
Group Theory
2022-03-30 v2
Abstract
In this note we give a classification of the Maximal order Abelian subgroups of finite irreducible Coxeter groups. We also prove a Weyl group analogue of Cartan's theorem that all maximal tori in a connected compact Lie group are conjugate.
Cite
@article{arxiv.1601.07812,
title = {Maximal order Abelian subgroups of Coxeter groups},
author = {John M. Burns and Goetz Pfeiffer},
journal= {arXiv preprint arXiv:1601.07812},
year = {2022}
}
Comments
shorter version with modified title and abstract. 9 pages; to appear in Glasgow Math. J