Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups.
type: Item
instance of: scholarly article
title: Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups.
zbMATH Open document ID: 1344.20059
DOI: 10.4171/GGD/177
author: Marc Bourdon
author: Bruce Kleiner
published in: Groups, Geometry, and Dynamics
publication date: 2013-03-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1002.1991
review text: Summary: We study combinatorial modulus on self-similar metric spaces. We give new examples of hyperbolic groups whose boundaries satisfy a combinatorial version of the Loewner property, and prove Cannon's conjecture for Coxeter groups. We also establish some connections with \(\ell_p\)-cohomology.
Mathematics Subject Classification ID: 20F67
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 30L10
zbMATH DE Number: 6147446
zbMATH Keywords: geometric group theory
zbMATH Keywords: hyperbolic groups
zbMATH Keywords: nonpositively curved groups
zbMATH Keywords: Coxeter groups
zbMATH Keywords: quasiconformal mappings in metric spaces
MaRDI profile type: Publication
arXiv ID: 1002.1991
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OpenAlex ID: W2963433091
description: scientific article