Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups

DOI10.1017/S0305004104007881zbMath1073.20034OpenAlexW4293468686MaRDI QIDQ3159879

François Gautero, Martin Lustig

Publication date: 16 February 2005

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004104007881

zbMATH Keywords

automorphismstorsion-free word-hyperbolic groupsgraphs of groupssemi-direct productssurface groupsrelative hyperbolicitymapping torus groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) 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)

Related Items

Relative hyperbolicity for automorphisms of free products and free groups ⋮ Poisson boundary of groups acting on \(\mathbb R\)-trees. ⋮ Relative hyperbolicity of hyperbolic-by-cyclic groups ⋮ Relative hyperbolicity of mapping-tori of hyperbolic groups. ⋮ Relative hyperbolicity and Artin groups.