A combination theorem for strong relative hyperbolicity.

DOI10.2140/gt.2008.12.1777zbMath1192.20027arXivmath/0611601OpenAlexW3098093897MaRDI QIDQ945625

Lawrence Reeves, Mahan Mitra

Publication date: 17 September 2008

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

Full work available at URL: https://arxiv.org/abs/math/0611601

zbMATH Keywords

hyperbolic metric spacestreesrelatively hyperbolic groupscombination theoremsrelative hyperbolicity

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (20)

Combination Theorems in Groups, Geometry and Dynamics ⋮ Relative hyperbolicity for automorphisms of free products and free groups ⋮ Quasiconvexity and relatively hyperbolic groups that split. ⋮ Boundaries of graphs of relatively hyperbolic groups with cyclic edge groups ⋮ The structure of limit groups over hyperbolic groups ⋮ A combination theorem for metric bundles ⋮ A limit set intersection theorem for graphs of relatively hyperbolic groups ⋮ Hyperbolicity of the genus two Hatcher-Thurston complex. ⋮ Relative hyperbolicity, trees of spaces and Cannon-Thurston maps ⋮ Relative Dehn functions, hyperbolically embedded subgroups and combination theorems ⋮ A note on stable Teichmüller quasigeodesics ⋮ Cannon-Thurston maps for surface groups ⋮ The dynamics and geometry of free group endomorphisms ⋮ Relatively hyperbolic extensions of groups and Cannon-Thurston maps. ⋮ A refined combination theorem for hierarchically hyperbolic groups ⋮ Height in splittings of relatively hyperbolic groups ⋮ Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians ⋮ Tight trees and model geometries of surface bundles over graphs ⋮ COMPLEX OF RELATIVELY HYPERBOLIC GROUPS ⋮ Relative hyperbolicity of free-by-cyclic extensions

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