Action of G and Q(√ m) and algorithmic implementation for group actions

Document Type : Research Paper

Authors

1 School of Mathematics and System Sciences, Beihang University, P.O. Box 100191 Beijing, China

2 School of Material Sciences and Engineering, Beihang University, P.O. Box 100191 Beijing, China

3 Department of Mathematics, Punjab University, P.O.Box 54590, Lahore, Pakistan

Abstract

This paper calls for a relationship among the actions of groups G and M on Q(√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(√m). We have also generated an algorithm by using Visual Basic for calculating the congruence classes of different Moduli and manipulating the group actions.

Keywords

Journal of Hyperstructures
Volume 1, Issue 1
June 2012
Pages 41-51

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