The infinite Fibonacci groups and relative asphericity

DOI10.1112/TLM3.12007zbMath1472.20070arXiv1708.01194OpenAlexW2609217247MaRDI QIDQ4642701

Martin Edjvet, Arye Juhász

Publication date: 25 May 2018

Published in: Transactions of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01194

Mathematics Subject Classification ID

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

Related Items (6)

Efficient finite groups arising in the study of relative asphericity ⋮ Curvature distribution and hyperbolicity ⋮ Curvature distribution, relative presentations and hyperbolicity with an application to Fibonacci groups ⋮ Asphericity of positive free product length 4 relative group presentations ⋮ Perfect Prishchepov groups ⋮ Asphericity and finiteness for certain group presentations

Cites Work

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• On the Asphericity of Length Five Relative Group Presentations
• On the Asphericity of Relative Group Presentations of Arbitrary Length
• On the Asphericity of Length Four Relative Group Presentations
• ON THE ASPHERICITY OF A FAMILY OF RELATIVE GROUP PRESENTATIONS
• Aspherical relative presentations
• The Fibonacci Groups
• The Fibonacci groups. II
• On the asphericity of one-relator relative presentations
• Fibonacci groups with aspherical presentations
• Equations Over Groups and a Theorem of Higman, Neumann, and Neumann
• Aspherisity, atorisity and simmetrically presented groups

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