Malik, M.A. and Asim Zafar, M. (2013) G-Subsets of an Invariant Subset of under the Modular Group Action. Utilitas Mathematica, 91, 377-387.

has been cited by the following article:

• TITLE: On Subsets of Q(√m) Q under the Action of Hecke Groups H(λq)

  AUTHORS: M. Aslam Malik, M. Asim Zafar

  KEYWORDS: Quadratic Irrationals, Hecke Groups, Legendre Symbol, G-Set

  JOURNAL NAME: Applied Mathematics, Vol.5 No.8, May 15, 2014

  ABSTRACT: is the disjoint union of for all , where is the set of all roots of primitive second degree equations , with reduced discriminant equal to k2m. We study the action of two Hecke groups—the full modular group and the group of linear-fractional transformations on . In particular, we investigate the action of on for finding different orbits.