Curvature distribution and hyperbolicity

DOI10.1515/jgth-2022-0106zbMath1523.20075OpenAlexW4316661294MaRDI QIDQ6110516

Christopher P. Chalk, Martin Edjvet

Publication date: 6 July 2023

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

Full work available at URL: https://doi.org/10.1515/jgth-2022-0106

zbMATH Keywords

curvaturehyperbolic groupsfinitely presented groupvan Kampen diagrams

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (1)

Curvature distribution, relative presentations and hyperbolicity with an application to Fibonacci groups

Cites Work

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• An approach to the study of finitely presented groups based on the notion of discrete curvature
• Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups
• Cohomology theory of aspherical groups and of small cancellation groups
• Tadpole labelled oriented graph groups and cyclically presented groups.
• Hyperbolicity of \(T(6)\) cyclically presented groups
• Polynomial-time proofs that groups are hyperbolic
• Fibonacci groups \(F(2,n)\) are hyperbolic for \(n\) odd and \(n\geq 11\)
• Groups, Languages and Automata
• The Fibonacci Groups
• On the hyperbolicity of small cancellation groups and one-relator groups
• Fibonacci groups with aspherical presentations
• The infinite Fibonacci groups and relative asphericity

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