Maps Corresponding to the Subgroups Gamma(0)(N) of the Modular Group

Gozutok N., GÖZÜTOK U., GÜLER B. Ö.

GRAPHS AND COMBINATORICS, cilt.35, sa.6, ss.1695-1705, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00373-019-02080-9
  • Dergi Adı: GRAPHS AND COMBINATORICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1695-1705
  • Anahtar Kelimeler: Regular maps, Modular group, Normalizer
  • Marmara Üniversitesi Adresli: Hayır

Özet

The normalizer Gamma(B)(N) of Gamma(0)(N) in PSL(2, R) is the triangle group (2, 3, infinity) for N = 2(alpha)3(beta) where alpha = 0, 2, 4, 6; beta = 0, 2. In this paper we examine relationship between the normalizer and the regular maps for these values. We define a family of subgroups of the normalizer and then we study maps with triangular faces using these subgroups and calculating the associated arithmetic structure.