Combination of quasiconvex subgroups of relatively hyperbolic groups.

DOI10.4171/GGD/59zbMath1186.20029arXiv0709.2113MaRDI QIDQ1016451

Eduardo Martínez Pedroza

Publication date: 5 May 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2113

zbMATH Keywords

parabolic subgroupsquasiconvex subgroupscombination theoremsrelative hyperbolicityconed-off Cayley graphs

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

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Separability of embedded surfaces in 3-manifolds, Quasiconvexity and relatively hyperbolic groups that split., Stallings graphs for quasi-convex subgroups, On cubulated relatively hyperbolic groups, Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan), Klein-Maskit combination theorem for Anosov subgroups: free products, Specializing cubulated relatively hyperbolic groups, Relative quasiconvexity using fine hyperbolic graphs., On quasiconvexity and relatively hyperbolic structures on groups., Mixed 3-manifolds are virtually special, Limit sets of relatively hyperbolic groups., Virtual amalgamation of relatively quasiconvex subgroups., A combination theorem for Anosov subgroups, Relative hyperbolicity and relative quasiconvexity for countable groups., On growth of double cosets in hyperbolic groups, Packing subgroups in relatively hyperbolic groups., Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians, Cores for quasiconvex actions, Splittings of knot groups

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