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

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DOI: 10.4236/am.2014.58120    3,409 Downloads   4,254 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Malik, M. and Zafar, M. (2014) On Subsets of Q(√m) Q under the Action of Hecke Groups H(λq). Applied Mathematics, 5, 1284-1291. doi: 10.4236/am.2014.58120.

References

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