Quasi-isometric classification of some high dimensional right-angled Artin groups.

DOI10.4171/GGD/100zbMath1226.20033arXiv0906.4519MaRDI QIDQ531904

Walter D. Neumann, Tadeusz Januszkiewicz, Jason A. Behrstock

Publication date: 21 April 2011

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4519

zbMATH Keywords

simplicial complexesquasi-isometriesquasi-isometric classificationright-angled Artin groupsbisimilaritiespresentation graphs

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07)

Related Items (12)

Geometry and Combinatorics via Right-Angled Artin Groups ⋮ Measure equivalence classification of transvection-free right-angled Artin groups ⋮ Quasi-isometric classification of right-angled Artin groups. I: The finite out case ⋮ Commensurability of groups quasi-isometric to RAAGs ⋮ Groups quasi-isometric to right-angled Artin groups ⋮ A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups ⋮ On the coarse geometry of certain right-angled Coxeter groups ⋮ Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups ⋮ Quasiflats in hierarchically hyperbolic spaces ⋮ Helly meets Garside and Artin ⋮ Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groups ⋮ Top-dimensional quasiflats in CAT(0) cube complexes

Cites Work

• Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity.

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