10.—Applications of the Todd-Coxeter Algorithm to Generalised Fibonacci Groups

Author:

Campbell C. M.,Robertson E. F.

Abstract

SynopsisWe use programmes for the Todd-Coxeter coset enumeration algorithm and the modified Todd-Coxeter coset enumeration algorithm to investigate a class of generalised Fibonacci groups. In particular we use these techniques to discover a finite non-metacyclic Fibonacci group and to study its structure.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. A calculus for a certain class of word problems in groups

2. Remarks on a class of 2-generator groups of deficiency zero

3. On metacyclic Fibonacci groups

4. Generators and Relations for Discrete Groups

5. 7 Wilde N. W. G. , Benson Mendelsohn algorithm for certain word problems in groups. IBM Contributed Program Library, 42.0.001, 1967.

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups;Journal of Algebra;2017-06

2. Efficient finite groups arising in the study of relative asphericity;Mathematische Zeitschrift;2016-04-12

3. On infinite groups of Fibonacci type;Proceedings of the Edinburgh Mathematical Society;1986-06

4. The orders of the Fibonacci groups;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1982

5. Deficiency zero groups involving Fibonacci and Lucas numbers;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1978

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