On conjugacy of elliptic elements and circuits in suborbital graphs of congruence subgroups

Kader S., Guler B. Ö.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.38, ss.43-53, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38
  • Basım Tarihi: 2011
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.43-53
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we, for the first time, introduce the notion of conjugacy in suborbital graphs. Then we show that the conjugate elliptic elements of the modular group Gamma and of congruence subgroups Gamma(0)(p) give rise to conjugate circuits, corresponding to the related elliptic elements, in the Farey graph F and in the suborbital graph F-u,F-p of the action of Gamma(0)(p), respectively.