Boundaries of Coxeter groups and simplicial complexes with given links

DOI10.1016/S0022-4049(97)00202-8zbMath0946.20020MaRDI QIDQ1295722

Alexander N. Dranishnikov

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

boundaries of Coxeter groupshyperbolic Coxeter groupssimplicial complexes with given links

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Other geometric groups, including crystallographic groups (20H15)

Related Items (21)

Quasisymmetrically co-Hopfian Menger curves and Sierpiński spaces ⋮ Flag-no-square triangulations and Gromov boundaries in dimension 3. ⋮ Dimension invariants for groups admitting a cocompact model for proper actions ⋮ On dimensions of groups with cocompact classifying spaces for proper actions ⋮ On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter groups ⋮ Regularity of edge ideals via suspension ⋮ Right‐angled Coxeter groups with Menger curve boundary ⋮ Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory ⋮ Rigidity of graph products of groups. ⋮ Asymptotic dimension ⋮ 4-dimensional locally \(\mathrm{CAT}(0)\)-manifolds with no Riemannian smoothings ⋮ Convex cocompactness in pseudo-Riemannian hyperbolic spaces ⋮ An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilisers ⋮ The topological complexity of the free product ⋮ Dimensions of locally and asymptotically self-similar spaces ⋮ Dimensions of products of hyperbolic spaces ⋮ Subgroups of word hyperbolic groups in rational dimension 2 ⋮ On dimension of product of groups ⋮ Bowditch taut spectrum and dimensions of groups ⋮ Minimal dynamics on Menger manifolds ⋮ Pontryagin algebras and the LS-category of moment-angle complexes in the flag case

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• DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS
• A Useful Functor and Three Famous Examples in Topology
• Characterizing 𝑘-dimensional universal Menger compacta
• On boundaries of hyperbolic Coxeter groups

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