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On metacyclic Fibonacci groups

Published online by Cambridge University Press:  20 January 2009

C. M. Campbell  and
E. F. Robertson
E. F. Robertson
Affiliation:
Mathematical Institute, University of St. Andrews, St Andrews KY16 9SS
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Let Fn be the free group on {ai: i ∈ Zn}, where the set of congruence classes mod n is used as an index set for the generators. Let φ be the permutation (1, 2, 3, …, n) of Zn and denote by θ the automorphism of Fn induced by φ, namely

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 3 , March 1975 , pp. 253 - 256
Copyright
Copyright © Edinburgh Mathematical Society 1975

References

REFERENCES

(1) Campbell, C. M. and Robertson, E. F., A note on a class of generalised Fibonacci groups (to appear).Google Scholar
(2) Campbell, C M. and Robertson, E. F., The orders of certain metacyclic groups, Bull. London Math. Soc. 6 (1974), 312–314.CrossRefGoogle Scholar
(3) Johnson, D. L., Wamsley, J. W. and Wright, D., The Fibonacci groups, Proc. London Math. Soc. (to appear).Google Scholar