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

DOI10.1016/j.jalgebra.2024.01.023OpenAlexW4391424605WikidataQ128855912 ScholiaQ128855912MaRDI QIDQ6153589

Martin Edjvet, Christopher P. Chalk, Arye Juhász

Publication date: 14 February 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2024.01.023

zbMATH Keywords

hyperbolic groupcurvature distributionrelative diagramrelative group presentationvan Kampen diagram

Mathematics Subject Classification ID

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

Cites Work

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• Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator.
• Hyperbolic groups of Fibonacci type and T(5) cyclically presented 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 \(n\geq 11\)
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• The relative hyperbolicity of one-relator relative presentations
• THE SOLUTION OF SETS OF EQUATIONS IN GROUPS
• The solution of length three equations over groups
• Aspherical relative presentations
• The infinite Fibonacci groups and relative asphericity
• Aspherical Relative Presentations all Over Again
• Curvature distribution and hyperbolicity

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