Divergence in right-angled Coxeter groups

DOI10.1090/S0002-9947-2014-06218-1zbMath1368.20049arXiv1211.4565MaRDI QIDQ5246970

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Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4565

zbMATH Keywords

quadratic divergenceright-angled Coxeter groupDavis complexdivergence polynomiallinear divergence

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07)

Related Items (19)

Divergence of finitely presented subgroups of CAT(0) groups ⋮ Divergence of Morse geodesics ⋮ Divergence spectra and Morse boundaries of relatively hyperbolic groups ⋮ Quasi-isometrically rigid subgroups in right-angled Coxeter groups ⋮ Characterizing divergence and thickness in right‐angled Coxeter groups ⋮ Square percolation and the threshold for quadratic divergence in random right‐angled Coxeter groups ⋮ Right-angled Coxeter groups with totally disconnected Morse boundaries ⋮ Detecting a subclass of torsion-generated groups ⋮ A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups ⋮ Divergence of CAT(0) cube complexes and Coxeter groups ⋮ On strongly quasiconvex subgroups ⋮ A remark on thickness of free-by-cyclic groups ⋮ On the coarse geometry of certain right-angled Coxeter groups ⋮ The relative hyperbolicity and manifold structure of certain right-angled Coxeter groups ⋮ Morphisms between right-angled Coxeter groups and the embedding problem in dimension two ⋮ Divergence of finitely presented groups ⋮ Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts ⋮ Morse subgroups and boundaries of random right-angled Coxeter groups ⋮ Top-dimensional quasiflats in CAT(0) cube complexes

Cites Work

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• 3-manifold groups and nonpositive curvature
• Quadratic divergence of geodesics in CAT(0) spaces
• Divergence in 3-manifold groups
• Right-angled Artin groups are commensurable with right-angled Coxeter groups
• Covering theory for complexes of groups.
• Cubulated groups: thickness, relative hyperbolicity, and simplicial boundaries
• Pushing fillings in right-angled Artin groups
• Divergence in lattices in semisimple Lie groups and graphs of groups

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