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

YAZICI GÖZÜTOK, NAZLI; GÖZÜTOK, UĞUR; GÜLER, BAHADIR

doi:10.1007/s00373-019-02080-9

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

YAZICI GÖZÜTOK N., GÖZÜTOK U., GÜLER B. Ö.

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

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
Karadeniz Teknik Üniversitesi Adresli: Evet

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.