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The last of the Fibonacci groups

Published online by Cambridge University Press:  14 November 2011

George Havas ,
J. S. Richardson  and
Leon S. Sterling
George Havas
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra
J. S. Richardson
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria
Leon S. Sterling
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra
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Synopsis

All the Fibonacci groups in the family F(2, n) have been either fully identified or determined to be infinite, bar one, namely F(2, 9). Using computer-aided techniques it is shown that F(2, 9) has a quotient of order 152.5741, and an explicit matrix representation for a quotient of order 152.518 is given. This strongly suggests that F(2, 9) is infinite, but no proof of such a claim is available.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 3-4 , 1979 , pp. 199 - 203
Copyright
Copyright © Royal Society of Edinburgh 1979

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