The orders of the Fibonacci groups

DOI10.1017/S0308210500032479zbMath0509.20022MaRDI QIDQ4748346

D. J. Seal

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

generatorsrelatorscyclic presentationfinite groups with balanced presentationssmall cancellation diagrams

Mathematics Subject Classification ID

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

Related Items (3)

On infinite groups of Fibonacci type ⋮ Efficient finite groups arising in the study of relative asphericity ⋮ Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups

Cites Work

• A note on the Fibonacci groups
• The last of the Fibonacci groups
• On metacyclic Fibonacci groups
• Some infinite Fibonacci groups
• Extensions of Fibonacci Groups
• On a Class of Finitely Presented Groups of Fibonacci Type
• The Fibonacci Groups
• Computer aided determination of a Fibonacci group
• 10.—Applications of the Todd-Coxeter Algorithm to Generalised Fibonacci Groups
• On groups of Fibonacci type
• The Fibonacci groups. II
• The determination of Fibonacci groups
• The orders of certain Metacyclic Groups

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