Petrie Paths in Triangular Normalizer Maps

Year 2022, Volume: 5 Issue: 3, 89 - 95, 30.09.2022

Nazlı Yazıcı Gözütok

https://doi.org/10.32323/ujma.1150466

Abstract

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.

Keywords

Normalizer, Petrie path, regular map

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