Commensurability of graph products

DOI10.2140/agt.2001.1.587zbMath0998.20029arXivmath/0111239OpenAlexW3103474448MaRDI QIDQ5947967

Jacek Świątkowski, Tadeusz Januszkiewicz

Publication date: 10 December 2001

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111239

zbMATH Keywords

subgroups of finite indexgraph productsright-angled buildingsstrong commensurability

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups with a (BN)-pair; buildings (20E42) Groups acting on trees (20E08)

Related Items (10)

Commensurability and separability of quasiconvex subgroups. ⋮ Hierarchically hyperbolic groups and uniform exponential growth ⋮ Homology growth, hyperbolization, and fibering ⋮ Groups quasi-isometric to right-angled Artin groups ⋮ Rigidity of graph products of groups. ⋮ Right-angularity, flag complexes, asphericity ⋮ Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products. ⋮ Finite index subgroups of graph products. ⋮ ON BI-INVARIANT WORD METRICS ⋮ Acylindrical hyperbolicity of groups acting on trees

Cites Work

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• Finite common coverings of graphs
• On representations of Artin groups and the Tits conjecture
• Right-angled Artin groups are commensurable with right-angled Coxeter groups
• On linear and residual properties of graph products
• Amenability, bi-Lipschitz equivalence, and the von Neumann conjecture
• Sur la dimension de Hausdorff de l'ensemble limite d'une famille de sous-groupes convexes co-compacts
• Sur les immeubles fuchsiens et leur type de quasi-isométrie

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