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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 3

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

Nazlı Yazıcı Gözütok(KARADENIZ TECHNICAL UNIVERSITY)0000-0002-3645-0623
Bahadır Özgür Güler(KARADENIZ TECHNICAL UNIVERSITY)0000-0003-3131-3643
Sayfa
—
Yayın Tarihi
2022-06-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In order to obtain graphs, we first define an imprimitive action of $\Gamma _B(N)$ on $\widehat{\mathbb{Q}}$ using the group $H_B(N)$ and then we obtain some properties of the graphs arising from this action.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we investigate suborbital graphs $G_{u,n}$ of the normalizer $\Gamma_B(N)$ of $\Gamma_0(N)$ in $PSL(2,\mathbb{R})$ for $N= 2^\alpha 3^\beta$, where $\alpha=0,2,4,6$ and $\beta =1,3$.
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Temel Bulgular & Veri:In each of these cases, the normalizer becomes a triangle group and the graph arising from the action of the normalizer contains hexagonal circuits.
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Sonuç & Katkı:In order to obtain graphs, we first define an imprimitive action of $\Gamma _B(N)$ on $\widehat{\mathbb{Q}}$ using the group $H_B(N)$ and then we obtain some properties of the graphs arising from this action.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:normalizer · suborbital graph · hexagon

Abstract

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

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Bu Makaleye Atıf Yap

Gözütok, N. Y., Güler, B. Ö. (2022). Hexagonal cell graphs of the normalizer with signature $(2, 6, \infty)$. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 3. https://doi.org/10.15672/hujms.824436

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