Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups

Marc Bourdon, Bruce Kleiner

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)39-107
Number of pages69
JournalGroups, Geometry, and Dynamics
Volume7
Issue number1
DOIs
StatePublished - 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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