Cohomological characterization of relative hyperbolicity and combination theorem.

DOI10.5565/PUBLMAT_53209_10zbMath1183.20042arXiv0710.4426MaRDI QIDQ2271359

François Gautero, Michael Heusener

Publication date: 7 August 2009

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4426

zbMATH Keywords

graphs of groupsrelative presentationsGromov hyperbolicityrelatively hyperbolic groupsrelative cohomologyword-hyperbolic groups\(l_\infty\)-cohomology

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Homological methods in group theory (20J05) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (3)

Combination Theorems in Groups, Geometry and Dynamics ⋮ Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians ⋮ Tight trees and model geometries of surface bundles over graphs

Cites Work

• A combination theorem for negatively curved groups
• Dehn filling in relatively hyperbolic groups.
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Relative homology and Poincaré duality for group pairs
• Cohomological lower bounds for isoperimetric functions on groups
• Combination of convergence groups.
• Geometry of the complex of curves. I: Hyperbolicity
• RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• An obstruction to the strong relative hyperbolicity of a group
• A COMBINATION THEOREM FOR RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups
• Relatively hyperbolic groups
• Unnamed Item
• Unnamed Item

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