Divergence in right-angled Coxeter groups

Dani, Pallavi; Thomas, Anne

doi:10.1090/S0002-9947-2014-06218-1

Divergence in right-angled Coxeter groups
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by Pallavi Dani and Anne Thomas PDF

Trans. Amer. Math. Soc. 367 (2015), 3549-3577 Request permission

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.

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