Divergence in right-angled Coxeter groups
classification
🧮 math.GR
math.GT
keywords
coxeterdivergenceright-angledgroupsarbitrarycharacterisecomplexconstruct
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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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