A decomposition theorem for higher rank Coxeter groups
Group Theory
2010-07-23 v1
Abstract
In this paper, we show that any Coxeter graph which defines a higher rank Coxeter group must have disjoint induced subgraphs each of which defines a hyperbolic or higher rank Coxeter group. We then use this result to demonstrate several classes of Coxeter graphs which define hyperbolic Coxeter groups.
Cite
@article{arxiv.1007.3755,
title = {A decomposition theorem for higher rank Coxeter groups},
author = {Ryan Blair and Ryan Ottman},
journal= {arXiv preprint arXiv:1007.3755},
year = {2010}
}
Comments
7 pages, 3 figures