Petrie Paths in Triangular Normalizer Maps

This study is devoted to investigate the Petrie paths in the normalizer maps and regular triangular maps corresponding to the subgroups $\Gamma_0(N)$ of the modular group $\Gamma$. We show that each regular triangular map admits a closed Petrie path. Thus, for each regular map, we find the Petrie le...

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Main Author: Nazlı Yazıcı Gözütok
Format: Article
Language:English
Published: Emrah Evren KARA 2022-09-01
Series:Universal Journal of Mathematics and Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/2563723
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author Nazlı Yazıcı Gözütok
author_facet Nazlı Yazıcı Gözütok
author_sort Nazlı Yazıcı Gözütok
collection DOAJ
description This study is devoted to investigate the Petrie paths in the normalizer maps and regular triangular maps corresponding to the subgroups $\Gamma_0(N)$ of the modular group $\Gamma$. We show that each regular triangular map admits a closed Petrie path. Thus, for each regular map, we find the Petrie length of the corresponding map.
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issn 2619-9653
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spelling doaj.art-c277d2707e6b4c1f931a0e6da52d50fe2024-01-21T09:02:05ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532022-09-0153899510.32323/ujma.11504661225Petrie Paths in Triangular Normalizer MapsNazlı Yazıcı Gözütok0MARMARA ÜNİVERSİTESİThis study is devoted to investigate the Petrie paths in the normalizer maps and regular triangular maps corresponding to the subgroups $\Gamma_0(N)$ of the modular group $\Gamma$. We show that each regular triangular map admits a closed Petrie path. Thus, for each regular map, we find the Petrie length of the corresponding map.https://dergipark.org.tr/tr/download/article-file/2563723normalizerpetrie pathregular map
spellingShingle Nazlı Yazıcı Gözütok
Petrie Paths in Triangular Normalizer Maps
Universal Journal of Mathematics and Applications
normalizer
petrie path
regular map
title Petrie Paths in Triangular Normalizer Maps
title_full Petrie Paths in Triangular Normalizer Maps
title_fullStr Petrie Paths in Triangular Normalizer Maps
title_full_unstemmed Petrie Paths in Triangular Normalizer Maps
title_short Petrie Paths in Triangular Normalizer Maps
title_sort petrie paths in triangular normalizer maps
topic normalizer
petrie path
regular map
url https://dergipark.org.tr/tr/download/article-file/2563723
work_keys_str_mv AT nazlıyazıcıgozutok petriepathsintriangularnormalizermaps