[ m at h . G R ] 3 M ay 2 01 1 COMBINATORIAL MODULUS , THE COMBINATORIAL LOEWNER PROPERTY , AND COXETER GROUPS

نویسنده

  • BRUCE KLEINER
چکیده

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 lp-cohomology.

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تاریخ انتشار 2011