STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.57, no.3, pp.408-425, 2020 (SCI-Expanded)
In this study, we investigate suborbital graphs G(u,n) of the normalizer Gamma(B)(N) of Gamma(0)(N) in PSL(2, R) for N = 2 alpha 3 beta where alpha = 1, 3, 5, 7, and beta = 0 or 2. In these cases the normalizer becomes a triangle group and graphs arising from the action of the normalizer contain quadrilateral circuits. In order to obtain graphs, we first define an imprimitive action of Gamma(B)(N) on (Q) over cap using the group Gamma(+)(B)(N) and then obtain some properties of the graphs arising from this action.