NUI Galway Mathematics
Preprint IRL-GLWY-2011-002 (PDF)

On Reflection Subgroups of finite Coxeter groups

J.Matthew Douglass, Götz Pfeiffer, and Gerhard Röhrle,

Abstract

Let $W$ be a finite Coxeter group. We classify the reflection subgroups of $W$ up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup $R$ of $W$ the conjugacy class of its Coxeter elements to be injective, up to conjugacy.

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