Abstract:
In this paper, we establish the Fricke Group Gamma(F)(N) which is a new special group of Non-Euclidean Crystallograhic (NEC) group. We obtain this group whose congruence subgroup Gamma(0)(N) is expanded with Fricke reflection F(z) = 1/N (z) over bar. Then, we research and calculate the structure of signature and fundamental domain of this group. And then, we calculate the number of boundary components in the signature for this group. Finally, we find the 2, 3, infinity valued link periods of these boundary components with the H. Jaffee technique.