Cyclically Presented Groups Embedded in One-Relator Products of Cyclic Groups

DOI10.2307/2160315zbMath0784.20014OpenAlexW2783445175MaRDI QIDQ5288041

Richard M. Thomas, Patricia M. Heggie, Colin M. Campbell, Edmund F. Robertson

Publication date: 22 March 1994

Full work available at URL: https://doi.org/10.2307/2160315

zbMATH Keywords

presentationFibonacci groupsone-relator quotients

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Commutator calculus (20F12)

Cites Work

• Normalteiler vom Geschlecht eins in freien Produkten endlicher zyklischer Gruppen. (Normal subgroups of genus one in free products of finite cyclic groups)
• A note on generalized triangle groups
• On \((2,n)\)-groups related to Fibonacci groups
• Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative
• Proving a group infinite
• Generalized triangle groups
• THREE-RELATOR QUOTIENTS OF THE MODULAR GROUP
• Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators
• The Fibonacci Groups F(2,2m )
• One-Relator Quotients and Free Products of Cyclics
• Ree — Mendelsohn pairs in generalized triangle groups
• Computer aided determination of a Fibonacci group
• Some families of finite groups having two generators and two relations
• The Fibonacci groups. II
• The determination of Fibonacci groups
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