Quadratic Diophantine equations and two generator Möbius groups

Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103993

DC Field	Value
dc.title	Quadratic Diophantine equations and two generator Möbius groups
dc.contributor.author	Tan, E.-C.
dc.contributor.author	Tan, S.-P.
dc.date.accessioned	2014-10-28T02:44:00Z
dc.date.available	2014-10-28T02:44:00Z
dc.date.issued	1996-12
dc.identifier.citation	Tan, E.-C.,Tan, S.-P. (1996-12). Quadratic Diophantine equations and two generator Möbius groups. Journal of the Australian Mathematical Society 61 (3) : 360-368. ScholarBank@NUS Repository.
dc.identifier.issn	14467887
dc.identifier.uri	http://scholarbank.nus.edu.sg/handle/10635/103993
dc.description.abstract	In this paper, we study the set of rational μ in (-2, 2) for which the group Gμ generated by A = (1 μ 0 1), B = (1 0 μ 1) is not free by using quadratic Diophantine equations of the form ax2 - by2 = ±1. We give a new set of accumulation points for rational values of μ in (-2, 2) for which Gμ is not free, thereby extending the results of Beardon where he showed that 1/√N are accumulation points, where N is an integer which is not a perfect square. In particular, we exhibit an infinite set of accumulation points for μ between 1 and 2 including the point 1.
dc.source	Scopus
dc.type	Article
dc.contributor.department	MATHEMATICS
dc.description.sourcetitle	Journal of the Australian Mathematical Society
dc.description.volume	61
dc.description.issue	3
dc.description.page	360-368
dc.identifier.isiut	NOT_IN_WOS
Appears in Collections:	Staff Publications

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