Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups

Marc Bourdon; Bruce Kleiner

doi:10.4171/GGD/177

Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups

Marc Bourdon, Bruce Kleiner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 ̀p-cohomology.

Original language	English (US)
Pages (from-to)	39-107
Number of pages	69
Journal	Groups, Geometry, and Dynamics
Volume	7
Issue number	1
DOIs	https://doi.org/10.4171/GGD/177
State	Published - 2013

Keywords

Geometric group theory
Hyperbolic groups and nonpositively curved groups
Quasiconformal mappings in metric spaces

ASJC Scopus subject areas

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/177

Cite this

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KW - Hyperbolic groups and nonpositively curved groups

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Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups

Abstract

Keywords

ASJC Scopus subject areas

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