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The Fibonacci groups. II

Published online by Cambridge University Press:  14 February 2012

C. P. Chalk  and
D. L. Johnson
C. P. Chalk
Affiliation:
University of East Anglia, Norwich
D. L. Johnson
Affiliation:
University of Nottingham
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Synopsis

Since the appearance of the article [15] to which this is a sequel, considerable progress has been made in the study of the groups F(r, n) of the title. It is therefore our intention to give a brief account of these developments before proceeding to our main theme, which is to apply the elegant and powerful methods of small cancellation theory to these groups. This has a variety of consequences, perhaps the most important of which is the generalisation to arbitrary r of Lyndon's proof that F(2, n) is infinite for n ≧ 11.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 77 , Issue 1-2 , 1977 , pp. 79 - 86
Copyright
Copyright © Royal Society of Edinburgh 1977

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