On reflection subgroups of finite Coxeter groups
Group Theory
2012-01-26 v3 Combinatorics
Abstract
Let be a finite Coxeter group. We classify the reflection subgroups of up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup of the conjugacy class of its Coxeter elements to be injective, up to conjugacy.
Cite
@article{arxiv.1101.5893,
title = {On reflection subgroups of finite Coxeter groups},
author = {J. Matthew Douglass and Goetz Pfeiffer and Gerhard Roehrle},
journal= {arXiv preprint arXiv:1101.5893},
year = {2012}
}
Comments
17 pages; final version, to appear in Comm. Algebra