Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups

Details Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups

2010-02-09

arxiv.org/abs/1002.1991v2

Mathematics

Group Theory

Scientific paper

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.

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