On reflection subgroups of finite Coxeter groups

Gerhard Roehrle; Goetz Pfeiffer; J. Matthew Douglass

arxiv: 1101.5893 · v3 · pith:2E56X7DFnew · submitted 2011-01-31 · 🧮 math.GR · math.CO

On reflection subgroups of finite Coxeter groups

J. Matthew Douglass , Goetz Pfeiffer , Gerhard Roehrle This is my paper

classification 🧮 math.GR math.CO

keywords conjugacycoxeterreflectionfinitesubgroupsassignsclassclassify

0 comments

read the original 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.

This paper has not been read by Pith yet.

On reflection subgroups of finite Coxeter groups

discussion (0)