Local connectivity of right-angled Coxeter group boundaries

DOI10.1515/JGT.2007.042zbMath1184.20040OpenAlexW2073713477MaRDI QIDQ5755376

Steven T. Tschantz, Kim E. Ruane, Michael L. Mihalik

Publication date: 13 August 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2007.042

zbMATH Keywords

CAT(0) spaceslocal connectivityCayley graphsboundaries of right-angled Coxeter groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (6)

Geometry of right-angled Coxeter groups on the Croke-Kleiner spaces ⋮ Hyperbolic Coxeter groups with Sierpiński carpet boundary ⋮ On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter groups ⋮ Strong accessibility of Coxeter groups over minimal splittings. ⋮ Homotopy of ends and boundaries of CAT(0) groups. ⋮ Actions of right-angled Coxeter groups on the Croke-Kleiner spaces

Cites Work

• Unnamed Item
• Cut points and canonical splittings of hyperbolic groups
• Spaces with nonpositive curvature and their ideal boundaries
• The Boundary of Negatively Curved Groups
• Cat(0) Groups with Non-Locally Connected Boundary
• Dynamics of the action of a \(\text{CAT}(0)\) group on the boundary

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