Reflection length in non-affine Coxeter groups
Group Theory
2014-02-26 v1 Geometric Topology
Abstract
The reflection length of an element of a Coxeter group is the minimal number of conjugates of the standard generators whose product is equal to that element. In this paper we prove the conjecture of McCammond and Petersen that reflection length is unbounded in any non-affine Coxeter group. Among the tools used, the construction of word-hyperbolic quotients of all minimal non-affine Coxeter groups might be of independent interest.
Keywords
Cite
@article{arxiv.1106.0619,
title = {Reflection length in non-affine Coxeter groups},
author = {Kamil Duszenko},
journal= {arXiv preprint arXiv:1106.0619},
year = {2014}
}