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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    3,424 Downloads   4,276 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.

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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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