Automorphisms of geometric structures associated to Coxeter groups
Group Theory
2012-03-01 v1
Abstract
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups these automorphism groups are discrete. In the case where they are discrete, we express them as semidirect products of two obvious families of automorphisms. This extends a result of Haglund and Paulin.
Cite
@article{arxiv.1202.6441,
title = {Automorphisms of geometric structures associated to Coxeter groups},
author = {Graham White},
journal= {arXiv preprint arXiv:1202.6441},
year = {2012}
}
Comments
11 pages, 4 figures