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On groups of Fibonacci type

Published online by Cambridge University Press:  20 January 2009

A. M. Brunner
A. M. Brunner
Affiliation:
9 Cambridge Street, Brighton, Victoria 3187, Australia
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Let w = w(a0, a1, an–1) be a word in the free group freely generated by a0, a1, …, an–1; let wi, denote the word w(ai, ai+1, …, ai+n–1), where the subscriptsj in aj are reduced modulo n; and let

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 3 , March 1977 , pp. 211 - 213
Copyright
Copyright © Edinburgh Mathematical Society 1977

References

REFERENCES

(1) Campbell, C. M. and Robertson, E. F., On metacyclic Fibonacci groups, Proc. Edinburgh Math. Soc. 19 (1975), 253–256.CrossRefGoogle Scholar
(2) Campbell, C. M. and Robertson, E. F., On a class of finitely presented groups of Fibonacci type, J. London Math. Soc. 11 (1975), 249–255.CrossRefGoogle Scholar
(3) Johnson, D. L., Wamsley, J. W. and Wright, D., The Fibonacci groups, Proc. London Math. Soc. (3) 29 (1974), 577–592.CrossRefGoogle Scholar
(4) Magnus, W., Karrass, A. and Solitar, D., Combinational group theory (Interscience (John Wiley & Sons), New York, London, Sydney, 1966).Google Scholar