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


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

GRAPHS AND COMBINATORICS, vol.35, no.6, pp.1695-1705, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.1007/s00373-019-02080-9
  • Title of Journal : GRAPHS AND COMBINATORICS
  • Page Numbers: pp.1695-1705

Abstract

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.