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The determination of Fibonacci groups

Published online by Cambridge University Press:  17 April 2009

A.M. Brunner
A.M. Brunner
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria.
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Abstract

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Fibonacci groups are the groups

where r is a natural number. The groups F(2, 8) and F(2, 10) are shown to he infinite, thus leaving F(2, 9) as the only Fibonacci group whose finiteness or infiniteness has not been determined.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 1 , August 1974 , pp. 11 - 14
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Johnson, D.U., Wamsley, J.W. and Wright, D., “The Fibonacci groups”, J. London Math. Soc. (to appear).Google Scholar