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The orders of the Fibonacci groups

Published online by Cambridge University Press:  14 November 2011

D. J. Seal
D. J. Seal
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
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Synopsis

The Fibonacci groups F(r, n) have been studied by various authors, chiefly in order to determine which ones are finite. This article contains a summary of the known results about this problem, followed by some further results obtained by the author. In particular, the orders of the groups F(r, 3) for r ≡ 2 (mod 3) and F(r, 4) for r ≡ 2 (mod 4) are determined, and various other Fibonacci groups are proved infinite by methods similar to those of Chalk and Johnson.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 3-4 , 1982 , pp. 181 - 192
Copyright
Copyright © Royal Society of Edinburgh 1982

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