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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Format: | Article |
Language: | English |
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Emrah Evren KARA
2022-09-01
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Series: | Universal Journal of Mathematics and Applications |
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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. |
first_indexed | 2024-03-08T12:42:46Z |
format | Article |
id | doaj.art-c277d2707e6b4c1f931a0e6da52d50fe |
institution | Directory Open Access Journal |
issn | 2619-9653 |
language | English |
last_indexed | 2024-03-08T12:42:46Z |
publishDate | 2022-09-01 |
publisher | Emrah Evren KARA |
record_format | Article |
series | Universal Journal of Mathematics and Applications |
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 |