Fibonacci groups with aspherical presentations

DOI10.1080/00927879808826218zbMath0902.20012OpenAlexW2071658671MaRDI QIDQ4395744

Christopher P. Chalk

Publication date: 6 December 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826218

zbMATH Keywords

presentationsFibonacci groupsVan Kampen diagramslocal test for asphericity

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (8)

Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups ⋮ Fractional Fibonacci groups with an odd number of generators ⋮ Fibonacci type presentations and 3-manifolds ⋮ Fibonacci groups \(F(2,n)\) are hyperbolic for \(n\) odd and \(n\geq 11\) ⋮ Curvature distribution and hyperbolicity ⋮ GROUPS OF FIBONACCI TYPE REVISITED ⋮ The infinite Fibonacci groups and relative asphericity ⋮ The aspherical Cavicchioli–Hegenbarth–Repovš generalized Fibonacci groups

Cites Work

• Unnamed Item
• Proving a group infinite
• Cohomology theory of aspherical groups and of small cancellation groups
• Aspherical relative presentations
• Aspherisity, atorisity and simmetrically presented groups
• Proving Another Group Infinite
• On the Commensurability Class of the Rational Modular Group

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