On congruence equations arising from suborbital graphs


GÜLER B. Ö. , BEŞENK M., Kader S.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, ss.2396-2404, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1905-93
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2396-2404

Özet

In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of Gamma(0) (m) in PSL(2, R). We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations. In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.