Deficiency zero groups involving Fibonacci and Lucas numbers

DOI10.1017/S0308210500010611zbMath0412.20026OpenAlexW2327456174MaRDI QIDQ4200373

Colin M. Campbell, Edmund F. Robertson

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1017/s0308210500010611

zbMATH Keywords

Fibonacci numbersLucas numbersReidemeister-Schreier algorithmFibonacci groupsdeficiency zero groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

A class of deficiency zero soluble groups of derived length 4 ⋮ A computer proof of relations in a certain class of groups ⋮ On 2-generator 2-relation soluble groups

Cites Work

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• A note on the Fibonacci groups
• On a Class of Finitely Presented Groups
• Some infinite Fibonacci groups
• Some groups of Fibonacci type
• On a Class of Finitely Presented Groups of Fibonacci Type
• A Note on Fibonacci Type Groups
• The Fibonacci Groups
• A note on the Todd-Coxeter coset enumeration algorithm
• 10.—Applications of the Todd-Coxeter Algorithm to Generalised Fibonacci Groups
• Some families of finite groups having two generators and two relations
• On groups of Fibonacci type
• The Fibonacci groups. II
• A class of finite groups with zero deficiency
• A class of two generator two relation finite groups

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