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

Gozutok N., GÜLER B. Ö.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.57, sa.3, ss.408-425, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1556/012.2020.57.3.1473
  • Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.408-425
  • Anahtar Kelimeler: Normalizer, suborbital graphs, quadrilaterals, CONGRUENCE SUBGROUPS, MAPS
  • Marmara Üniversitesi Adresli: Hayır

Özet

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.