## Divergence in right-angled Coxeter groups

### Pallavi Dani and Anne Thomas

#### 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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 Thursday, November 22, 2012