Hexagonal cell graphs of the normalizer with signature (2, 6, ∞)

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YAZICI GÖZÜTOK N., GÜLER B. Ö.

Hacettepe Journal of Mathematics and Statistics, cilt.51, sa.3, ss.666-679, 2022 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.15672/hujms.824436
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.666-679
  • Anahtar Kelimeler: normalizer, suborbital graph, hexagon, CONGRUENCE SUBGROUPS, MAPS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

© 2022, Hacettepe University. All rights reserved.In this paper, we investigate suborbital graphs Gu,n of the normalizer ΓB (N) of Γ0 (N) in P SL(2, R) for N = 2α 3β, where α = 0, 2, 4, 6 and β = 1, 3. In each of these cases, the normalizer becomes a triangle group and the graph arising from the action of the normalizer contains hexagonal circuits. In order to obtain graphs, we first define an imprimitive action of ΓB (N) on Formula Presented using the group HB (N) and then we obtain some properties of the graphs arising from this action.