Dergiler / Turkish Journal of Science / 2020 / Cilt: 5 - Sayı: 3

The Signatures and Boundary Components of the Groups $\hat{\Gamma}_{0,n}(N)$

Sayfa
268–279
Yayın Tarihi
2020-12-30
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, The number of boundary components in the signature of some groups $\hat{\Gamma}_{0,p}(p)$ and $\hat{\Gamma}_{0,p}(p^2), p$ is a prime number, and the number of link periods were found.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we established the group $\hat{\Gamma}_{0,n}(N)$ by group $\Gamma_{0,n}(N)$ extending with reflection.
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Temel Bulgular & Veri:Then, we obtain boundary components in signature of the group and we get some calculation for link periods $2, 3, \infty$.
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Sonuç & Katkı:Finally, The number of boundary components in the signature of some groups $\hat{\Gamma}_{0,p}(p)$ and $\hat{\Gamma}_{0,p}(p^2), p$ is a prime number, and the number of link periods were found.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Signature · Boundary component · Extended Modular Group

Abstract

In this paper, we established the group $\hat{\Gamma}_{0,n}(N)$ by group $\Gamma_{0,n}(N)$ extending with reflection. Then, we obtain boundary components in signature of the group and we get some calculation for link periods $2, 3, \infty$. And then, we constitute chain of reflections with fixed points via extended Hoore-Uzzell Theorem in the group. Finally, The number of boundary components in the signature of some groups $\hat{\Gamma}_{0,p}(p)$ and $\hat{\Gamma}_{0,p}(p^2), p$ is a prime number, and the number of link periods were found.

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Bu Makaleye Atıf Yap

ÜNLÜYOL, E., BÜYÜKKARAGÖZ, A. (2020). The Signatures and Boundary Components of the Groups $\hat{\Gamma}_{0,n}(N)$. Turkish Journal of Science, Cilt: 5 - Sayı: 3, 268–279. https://ajindex.com/articles/809485

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Kaynakça (8)

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