QUADRILATERAL CELL GRAPHS OF THE NORMALIZER WITH SIGNATURE (2, 4, ∞)

YAZICI GÖZÜTOK N., GÜLER B. Ö.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.57, no.3, pp.408-425, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.1556/012.2020.57.3.1473
  • Journal Name: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.408-425
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this study, we investigate suborbital graphs G(u,n) of the normalizer Gamma(B)(N) of Gamma(0)(N) in PSL(2, R) for N = 2 alpha 3 beta where alpha = 1, 3, 5, 7, and beta = 0 or 2. In these cases the normalizer becomes a triangle group and graphs arising from the action of the normalizer contain quadrilateral circuits. In order to obtain graphs, we first define an imprimitive action of Gamma(B)(N) on (Q) over cap using the group Gamma(+)(B)(N) and then obtain some properties of the graphs arising from this action.