ENDS OF CUSP-UNIFORM GROUPS OF LOCALLY CONNECTED CONTINUA — I

DOI10.1142/S0218196705002499zbMath1103.20040OpenAlexW2002994518MaRDI QIDQ5703675

Dan P. Guralnik

Publication date: 8 November 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196705002499

zbMATH Keywords

convergence groupsGromov boundariesconical limit pointsnumbers of endsgraphs of groupsrelatively hyperbolic groupscut pointsbounded parabolic pointsPeano sets

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Compact (locally compact) metric spaces (54E45) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Groups acting on trees (20E08)

Related Items (3)

Dehn fillings and elementary splittings ⋮ The cactus tree of a metric space ⋮ Local cut points and splittings of relatively hyperbolic groups

Cites Work

• On the deformation theory of classical Schottky groups
• Cut points and canonical splittings of hyperbolic groups
• Combination of convergence groups.
• A cut point theorem for CAT(0) groups.
• The spectral geometry of the apollonian packing
• Connectedness properties of limit sets
• A topological characterisation of hyperbolic groups
• Classifying Spaces and Boundaries for Relatively Hyperbolic Groups

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