Reflection subgroups of odd-angled Coxeter groups
Group Theory
2019-10-25 v2
Abstract
We give a criterion for a finitely generated odd-angled Coxeter group to have a proper finite index subgroup generated by reflections. The answer is given in terms of the least prime divisors of the exponents of the Coxeter relations.
Cite
@article{arxiv.1211.4194,
title = {Reflection subgroups of odd-angled Coxeter groups},
author = {Anna Felikson and Jessica Fintzen and Pavel Tumarkin},
journal= {arXiv preprint arXiv:1211.4194},
year = {2019}
}
Comments
28 pages, lots of figures; accepted version, to appear in J. Combin. Theory A