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arXiv · 1002.1991

Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups

Marc Bourdon·Bruce Kleiner
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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.

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Marc Bourdon, Bruce Kleiner. 2011-05-03. Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups. https://arxiv.org/abs/1002.1991

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