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arXiv · 1601.07812

Maximal order Abelian subgroups of Coxeter groups

John M. Burns·Goetz Pfeiffer
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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.

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John M. Burns, Goetz Pfeiffer. 2016-01-28. Maximal order Abelian subgroups of Coxeter groups. https://arxiv.org/abs/1601.07812

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