An obstruction to the strong relative hyperbolicity of a group

DOI10.1515/JGT.2007.054zbMath1188.20041OpenAlexW2082604982MaRDI QIDQ5431950

Javier Aramayona, James W. Anderson, Kenneth J. Shackleton

Publication date: 2 January 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2007.054

zbMATH Keywords

finitely generated groupscommutativity graphsstrongly relatively hyperbolic groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces, A Cartan-Hadamard type result for relatively hyperbolic groups, The hyperbolicity of the sphere complex via surgery paths, AUTOMORPHISM AND OUTER AUTOMORPHISM GROUPS OF RIGHT-ANGLED ARTIN GROUPS ARE NOT RELATIVELY HYPERBOLIC, Random walks on the mapping class group, Uniform convergence in the mapping class group, Cohomological characterization of relative hyperbolicity and combination theorem., Dehn filling Dehn twists, Combination of quasiconvex subgroups of relatively hyperbolic groups., Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity.

Cites Work

• Unnamed Item
• A presentation for the special automorphism group of a free group
• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• Geometry of the complex of curves. I: Hyperbolicity
• Some groups having only elementary actions on metric spaces with hyperbolic boundaries.
• Boundary amenability of relatively hyperbolic groups.
• Classifying Spaces and Boundaries for Relatively Hyperbolic Groups
• A group theoretic criterion for property FA
• Relatively hyperbolic groups
• Relatively hyperbolic groups