Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups
Group Theory
2011-05-04 v2 Differential Geometry
Metric Geometry
Abstract
We study combinatorial modulus on boundaries of hyperbolic Coxeter groups. We give new examples of hyperbolic groups whose boundary satisfies a combinatorial version of the Loewner property, and prove Cannon's conjecture for Coxeter groups. We also establish some connections with l^p cohomology.
Cite
@article{arxiv.1002.1991,
title = {Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups},
author = {Marc Bourdon and Bruce Kleiner},
journal= {arXiv preprint arXiv:1002.1991},
year = {2011}
}