Reflection trees of graphs as boundaries of Coxeter groups

DOI10.2140/agt.2021.21.351OpenAlexW3133652714MaRDI QIDQ2664181

Jacek Świątkowski

Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/1905.07602

zbMATH Keywords

Coxeter grouphyperbolic groupGromov boundaryvisual boundary

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 (1)

Surface‐like boundaries of hyperbolic groups

Cites Work

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• The dense amalgam of metric compacta and topological characterization of boundaries of free products of groups
• Hyperbolization of polyhedra
• Flag-no-square triangulations and Gromov boundaries in dimension 3.
• Boundaries of right-angled Coxeter groups with manifold nerves
• Trees of metric compacta and trees of manifolds
• Trees of manifolds as boundaries of spaces and groups
• Inverse limit spaces
• Hyperbolic groups with low-dimensional boundary
• Bowditch's JSJ tree and the quasi‐isometry classification of certain Coxeter groups
• Homogeneous cohomology manifolds which are inverse limits
• Some applications of an approximation theorem for inverse limits

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