Orbital Graphs for the Smallest Hurwitz Group

Besenk M.

International Conference on Advances in Natural and Applied Sciences (ICANAS), Antalya, Türkiye, 18 - 21 Nisan 2017, cilt.1833 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1833
  • Doi Numarası: 10.1063/1.4981696
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Hurwitz groups are the nontrivial finite quotients of the (2, 3, 7) triangle group < x, y vertical bar x(2) = y(3) = (xy)(7) = 1 >. In this paper we study the action of the smallest Hurwitz group is the simple group PS L(2, 7) acts via linear fractional transformation on the projective line P-1(7) over the field by using directed suborbital graphs. We obtain edge and circuit conditions.