Trees of the Normalizer of Modular Group in the Picard Group

Authors : Nazlı YAZICI GÖZÜTOK, İlgıt ZENGİN, Bahadır Özgür GÜLER

Pages : 63-70

View : 54 | Download : 9

Publication Date : 2018-12-28

Article Type : Research Paper

Abstract :In this study, we investigate trees arising from the imprimitive action of the normalizer of Modular group in the Picard group on extended rational numbers. We determine the farthest vertex from a given vertex in hyperbolic paths of minimal lengths. We also include some results of the suborbital graph F_{u,N} related to a continued fraction representation of a rational number.
Keywords : Normalizer of the modular group, suborbital graphs, continued fraction

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