ALGORITHMIC IMPLEMENTATION FOR GROUP ACTION OF G AND M ON Q(rad(m)) AND ACTIONS

This paper calls for a relationship among the actions of groups G and M on Q(rad(m)). It characterized several significant elements of G in terms of generators of M and vice versa. In this way we cultivate a correlation between the rudiments of these two modular groups. This will help us in discovering various G and M-Subsets of Q(rad(m)). We have also generated an algorithm by using Visual Basic for calculating the congruence classes of different Moduli and manipulating the group actions.