Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-22T04:31:38.552Z Has data issue: false hasContentIssue false

Can a Fibonacci group be a unique products group?

Published online by Cambridge University Press:  17 April 2009

Colin D. Fox
Affiliation:
Department of Pure Mathematics, La Trobe University, Bundoora, Victoria.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that a certain class of Fibonacci groups can not be right ordered. A question remaining is: Are the torsion-free members of this class unique products groups?

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Mura, Roberta Botto and Rhemtulla, Akbar, “Notes on orderable groups”; (University of Alberta, Edmonton, Canada, 1975).Google Scholar
[2]Brunner, A.M., “The determination of Fibonacci groups”, Bull. Austral. Math. Soc. 11 (1974), 1114.CrossRefGoogle Scholar
[3]Johnson, D.L., Presentations of groups (London Mathematical Society-Lecture Note Series, 22. Cambridge University Press, Cambridge, London, New York, Melbourne, 1976).Google Scholar
[4]Passman, D.S., “Advances in group rings”, Israel J. Math. 19 (1974), 67107.CrossRefGoogle Scholar