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, vol.51, no.3, pp.666-679, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.15672/hujms.824436
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.666-679
  • Keywords: normalizer, suborbital graph, hexagon, CONGRUENCE SUBGROUPS, MAPS
  • Karadeniz Technical University Affiliated: Yes

Abstract

© 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.