Divergence in right-angled Coxeter groups

Abstract

Let W be a 2-dimensional right-angled Coxeter group. We characterise such W with linear and quadratic divergence, and construct right-angled Coxeter groups with divergence polynomial of arbitrary degree. Our proofs use the structure of walls in the Davis complex.

This version incorporates the referee's comments. It contains the complete appendix (which will be abbreviated in the journal version). To appear in Transactions of the AMS

References in corpus (1)

• Cubulated groups: thickness, relative hyperbolicity, and simplicial boundaries

Cited by in corpus (1)

• Cubulated groups: thickness, relative hyperbolicity, and simplicial boundaries