Primitive Representations and the Modular Group
Muhammad Nadeem Bari · Indian Journal of Science and Technology · 2020
Objectives: Primitive representations are useful to explore the modular group action on real quadratic field.Methods/Statistical Analysis: By using primitive representations structure of G-orbit are obtained.Finding: Conditions on n and a, b, c are determined whenWe also find some elements of modular group PSL(2,Z) that moves α to α , α to -α and α to -α.Applications: By using these conditions, we can construct the structure of the G-orbit.These results are verified by suitable examples.