Twist-rigid Coxeter groups
Group Theory
2014-11-11 v1 Geometric Topology
Abstract
We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter group are conjugate provided one of them does not admit any elementary twist. This confirms a basic case of a general conjecture which describes a potential solution to the isomorphism problem for Coxeter groups.
Cite
@article{arxiv.0911.0354,
title = {Twist-rigid Coxeter groups},
author = {Pierre-Emmanuel Caprace and Piotr Przytycki},
journal= {arXiv preprint arXiv:0911.0354},
year = {2014}
}
Comments
28 pages, 1 figure