On infinite groups of Fibonacci type

DOI10.1017/S0013091500017600zbMath0595.20028MaRDI QIDQ3726333

Richard M. Thomas, Colin M. Campbell

Publication date: 1986

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

wordsgeneratorssemidirect productsautomorphismsfree groups of finite rankFibonacci groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (5)

LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS ⋮ Efficient finite groups arising in the study of relative asphericity ⋮ Generalized Fibonacci groups \(H(r,n,s)\) that are connected labelled oriented graph groups ⋮ TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS ⋮ Finite Generalized Triangle Groups

Cites Work

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• The last of the Fibonacci groups
• Some infinite Fibonacci Groups
• The Fibonacci Groups
• 10.—Applications of the Todd-Coxeter Algorithm to Generalised Fibonacci Groups
• The orders of the Fibonacci groups
• The orders of certain Metacyclic Groups

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