- Turkish Journal of Mathematics and Computer Science
- Vol: 9
- Trees of the Normalizer of Modular Group in the Picard Group
Trees of the Normalizer of Modular Group in the Picard Group
Authors : Nazlı YAZICI GÖZÜTOK, İlgıt ZENGİN, Bahadır Özgür GÜLER
Pages : 63-70
View : 15 | Download : 4
Publication Date : 2018-12-28
Article Type : Research
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