Groups acting on tree-graded spaces and splittings of relatively hyperbolic groups.

DOI10.1016/j.aim.2007.08.012zbMath1138.20024arXivmath/0601305OpenAlexW1968325255WikidataQ63090226 ScholiaQ63090226MaRDI QIDQ2469887

Cornelia Drutu, Mark V. Sapir

Publication date: 11 February 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601305

zbMATH Keywords

endomorphismsasymptotic conesrelatively hyperbolic groupstree-graded spacesgroups of outer automorphisms\(\mathbb{R}\)-treesactions of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Non-Euclidean differential geometry (53A35) Groups acting on trees (20E08)

Related Items (18)

Limit groups for relatively hyperbolic groups. I: The basic tools. ⋮ A Cartan-Hadamard type result for relatively hyperbolic groups ⋮ Hyperplane arrangements in negatively curved manifolds and relative hyperbolicity. ⋮ DISMANTLABLE CLASSIFYING SPACE FOR THE FAMILY OF PARABOLIC SUBGROUPS OF A RELATIVELY HYPERBOLIC GROUP ⋮ Hyperbolic and cubical rigidities of Thompson's group \(V\) ⋮ Divergence in lattices in semisimple Lie groups and graphs of groups ⋮ Recognizing a relatively hyperbolic group by its Dehn fillings ⋮ RECONSTRUCTING GROUP ACTIONS ⋮ ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS ⋮ Actions of finitely generated groups on \(\mathbb{R}\)-trees. ⋮ Non-nesting actions of Polish groups on real trees. ⋮ Algebraic characterisation of relatively hyperbolic special groups ⋮ Lacunary hyperbolic groups. With an appendix by Michael Kapovich and Bruce Kleiner. ⋮ Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity. ⋮ UNIVERSAL TREE-GRADED SPACES AND ASYMPTOTIC CONES ⋮ Acylindrical actions on trees and the Farrell-Jones conjecture ⋮ The isomorphism problem for toral relatively hyperbolic groups. ⋮ On automorphisms and splittings of special groups

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