Hyperbolic Coxeter groups with Sierpiński carpet boundary

DOI10.1112/blms/bdw034zbMath1396.20043arXiv1502.02044OpenAlexW3098353066MaRDI QIDQ3188371

Jacek Świątkowski

Publication date: 19 August 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02044

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (6)

Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve ⋮ Nonhyperbolic Coxeter groups with Menger boundary ⋮ Right‐angled Coxeter groups with Menger curve boundary ⋮ Right-angled Coxeter groups with non-planar boundary ⋮ Convex cocompactness in pseudo-Riemannian hyperbolic spaces ⋮ Trees of metric compacta and trees of manifolds

Cites Work

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• Cut points and canonical splittings of hyperbolic groups
• Local homology properties of boundaries of groups
• The cohomology of a Coxeter group with group ring coefficients
• Topological characterization of the Sierpiński curve
• A metric Kan-Thurston theorem
• Local connectivity of right-angled Coxeter group boundaries
• On boundaries of hyperbolic Coxeter groups

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