Divergence in right-angled Coxeter groups

By Pallavi Dani, Anne Thomas. 2012

48 citations recorded by the source corpus.

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 poly- nomial of arbitrary degree. Our proofs use the structure of walls in the Davis complex.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f74b56f29abfd3a4877628d797e73aa4c6a6bb93

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In Discrete Mathematics and Combinatorics

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In Geometry and Topology

1. Hung Cong Tran

Citations in the corpus

• On strongly quasiconvex subgroups (2017, methodology): “d is equivalent to the polynomial of degree d. ON STRONGLY QUASICONVEX SUBGROUPS 38 We remark that the above proposition was proved in [Tra16] but the proof based mostly on the work of Dani-Thomas in [DT15a]. Using a similar argument as in Proposition 3.19 in [Tra16] we also obtain an analogous prop”