Trees of The Normalizer of the Modular Group in The Picard Group

Özet

In this study, we investigate trees arising from the imprimitive action of the normalizer of Modulargroup in the Picard group on extended rational numbers. We determine the farthest vertex from a given vertexin 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.