On congruence equations arising from suborbital graphs

GÜLER B. Ö., BEŞENK M., Kader S.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.5, ss.2396-2404, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1905-93
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2396-2404
  • Karadeniz Teknik Üniversitesi Adresli: Evet

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.