Divergence in right-angled Coxeter groups
Group Theory
2013-06-19 v2 Geometric Topology
Abstract
Let W be a 2-dimensional right-angled Coxeter group. We characterise such W with linear and quadratic divergence, and construct right-angled Coxeter groups with divergence polynomial of arbitrary degree. Our proofs use the structure of walls in the Davis complex.
Keywords
Cite
@article{arxiv.1211.4565,
title = {Divergence in right-angled Coxeter groups},
author = {Pallavi Dani and Anne Thomas},
journal= {arXiv preprint arXiv:1211.4565},
year = {2013}
}
Comments
This version incorporates the referee's comments. It contains the complete appendix (which will be abbreviated in the journal version). To appear in Transactions of the AMS