On the power subgroups of the Modular group

Abstract

We show that the power subgroups M-6k(k > 1) of the Modular group M = PSL(2, Z) are subgroups of the groups M'(6k, 6k). Here the groups M'(6k, 6k)(k > 1) are subgroups of the commutator subgroup M' of M of index 36k(2) in M'.