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

Nazlı YAZICI GÖZÜTOK; Bahadır Özgür GÜLER

doi:https://doi.org/10.15672/hujms.824436

Makale detayları

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

Yazarlar:

Nazlı YAZICI GÖZÜTOK | Bahadır Özgür GÜLER

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.666-679

Belge Tipi:

Makale

Yayın Tarihi:

5/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450215

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.824436

Özet:

 

In this paper, we investigate suborbital graphs Gu,nGu,nG_{u,n} of the normalizer ΓB(N)ΓB(N)\Gamma_B(N) of Γ0(N)Γ0(N)\Gamma_0(N) in PSL(2,R)PSL(2,R)PSL(2,\mathbb{R}) for N=2α3βN=2α3βN= 2^\alpha 3^\beta, where α=0,2,4,6α=0,2,4,6\alpha=0,2,4,6 and β=1,3β=1,3\beta =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)ΓB(N)\Gamma _B(N) on ˆQQ^\widehat{\mathbb{Q}} using the group HB(N)HB(N)H_B(N) and then we obtain some properties of the graphs arising from this action.

Makale detayları

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

Yazarlar: Nazlı YAZICI GÖZÜTOK | Bahadır Özgür GÜLER

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.666-679

Belge Tipi: Makale

Yayın Tarihi: 5/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000450215

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.824436

Sayı

Yazarlar:

Nazlı YAZICI GÖZÜTOK | Bahadır Özgür GÜLER

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.666-679

Belge Tipi:

Makale

Yayın Tarihi:

5/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450215

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.824436