Connectedness of suborbital graphs for a special subgroup of the modular group

Abstract

In this paper, we investigate connectedness of suborbital graphs for a special congruence subgroups.Firstly, conditions for being an edge self-paired are provided, then in order to make graph connected, we give necessary and sufficient conditions for the £ u,n , whose vertices form the block [∞].

A remark on some fuchsian groups

“…In [1][2][3][4][5] authors investigate some important classes of modular group subgroups of finite index. It is known that given a group action, representation gives further means to study the object being acted upon, yielding more information about these groups.…”