On Suborbital Graphs for Some Subgroups of the Normalizer of Γ<sub>0</sub>(<i>qp</i><SUP>2</SUP>)

UZUN S., Sanli Z., AKBAŞ M.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.47, sa.1, ss.157-169, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s41980-020-00373-x
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.157-169
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper,we find some certain relationships between the lengths of the circuits in suborbital graphs F-u,F- N for Lambda(N) on (Q) over cap (N) and the periods of the group Lambda(N), generated by Gamma(0)(N) and an Atkin-Lehner involution, which is a subgroup of the normalizer N(Gamma(0)(N)) of Gamma(0)(N) in PSL(2, R) where N will be of the form qp(2), where q = 1 or prime and p is prime > 3 and p not equal q. In this case the action of the nomalizer on the extended rational numbers (Q) over cap is not transitive. And finally, we give some number theoretical results.