On the acylindrical accessibility of finitely presented groups

DOI10.5802/aif.1714zbMath0999.20017OpenAlexW2069714346MaRDI QIDQ1294738

Thomas Delzant

Publication date: 10 August 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_4_1215_0

zbMATH Keywords

accessibilitygroups acting on treesfinitely presented groupsHNN-extensionsamalgamated products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)

Related Items

Vertex finiteness for splittings of relatively hyperbolic groups ⋮ On purely loxodromic actions ⋮ Non-positively curved complexes of groups and boundaries. ⋮ Complexity andT‐invariant of Abelian and Milnor groups, and complexity of 3‐manifolds ⋮ Strong accessibility of Coxeter groups over minimal splittings. ⋮ Algebraic ranks of the fundamental groups of high dimensional graph manifolds ⋮ Complexes of groups and geometric small cancelation over graphs of groups ⋮ Detecting geometric splittings in finitely presented groups ⋮ Actions of finitely generated groups on \(\mathbb{R}\)-trees. ⋮ Acylindrical accessibility for groups acting on \(\mathbb{R}\)-trees. ⋮ Acylindrical actions on trees and the Farrell-Jones conjecture ⋮ Equations in the Q-completion of a torsion-free hyperbolic group

Cites Work

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• The accessibility of finitely presented groups
• Acylindrical accessibility for groups
• The image of a group in a hyperbolic group
• Bounding the complexity of simplicial group actions on trees
• Décomposition d'un groupe en produit libre ou somme amalgamée.
• Hierarchical accessibility of finitely presented groups