Abstract
The Fibonacci group F(2, n) is given by the presentation
.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Campbell, C. M. “Topics in the theory of groups.” Notes on Pure Math No. 1 (1985), Department of Math., Pusan National University.
Chalk, C. P. and Johnson, D. L. The Fibonacci Groups II, Proc. Rov. Soc. Edinburgh Sect. A, Vol. 77 (1977): pp. 79–86.
Conway, J. H. “Advanced Problems 5327.” The American Math. Monthly, Vol. 72 (1965): p. 915.
Helling, H., Kim, A. C. and Mennicke, J. “A Geometric Study of Fibonacci Groups.” To appear.
Howie, J. “Fibonacci Groups, the Figure 8-knot and Hyperbolic Structures.” Unpublished.
Howie, J. “Cyclic Presentations and (2, 2k + 1) Torus Knots.” Personal communications.
Kim, A. C. “Fibonacci Varieties.” Bull. Austr. Math. Soc., Vol. 19 (1978): pp. 191–196.
Kim, A. C., Neumann, B. H. and Rhemtulla, A. H. “More Fibonacci Varieties.” Bull. Austr. Math. Soc., Vol. 22 (1980): pp. 385–395.
Kim, A. C. “A Group Presentation Associated With a 3-Dimensional Manifold.” To appear.
Lyndon, R. C. “On a Family of Infinite Groups Introduced by Conway.” Unpublished manuscript.
Newman, M. F. “Proving a Group Infinite.” To appear.
Seifert, H. and Threlfall, W. Lehrbuch der Topoloeie. Chelsea Publ., 1970.
Thomas, R. “On a Question of Kim Concerning Certain Group Presentations.” Bull. Korean Math. Soc., Vol. 28 (1991): pp. 219–224.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Kim, A.C. (1993). On Some Problems Related to the Fibonacci Group. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2058-6_37
Download citation
DOI: https://doi.org/10.1007/978-94-011-2058-6_37
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4912-2
Online ISBN: 978-94-011-2058-6
eBook Packages: Springer Book Archive