QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS

DOI10.1142/S1793525313500192zbMath1295.20043arXiv1210.1166MaRDI QIDQ2870238

Bradley W. Groff

Publication date: 17 January 2014

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1166

zbMATH Keywords

geometric group theoryrelatively hyperbolic groupsJSJ-decompositionsgroup boundariescusped spacesquasi-isometric invariantsconed spaces

Mathematics Subject Classification ID

Related Items (11)

Piecewise visual, linearly connected metrics on boundaries of relatively hyperbolic groups ⋮ Relatively hyperbolic groups with fixed peripherals ⋮ The augmented marking complex of a surface ⋮ Relatively dominated representations from eigenvalue gaps and limit maps ⋮ Maps between relatively hyperbolic spaces and between their boundaries ⋮ Dehn fillings and elementary splittings ⋮ Contracting boundaries of CAT(0) spaces ⋮ Local cut points and splittings of relatively hyperbolic groups ⋮ Boundaries of Dehn fillings ⋮ The relative hyperbolicity and manifold structure of certain right-angled Coxeter groups ⋮ Relatively dominated representations

Cites Work

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• Combination of convergence groups.
• Stable actions of groups on real trees
• Quasi-isometry invariance of group splittings.
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
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• Peripheral splittings of groups
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Non-Nesting Actions On Real Trees
• A topological characterisation of hyperbolic groups
• A COMBINATION THEOREM FOR RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups
• Convergence groups are Fuchsian groups

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