Universal Journal of Mathematics and Applications (Sep 2022)

Petrie Paths in Triangular Normalizer Maps

  • Nazlı Yazıcı Gözütok

DOI
https://doi.org/10.32323/ujma.1150466
Journal volume & issue
Vol. 5, no. 3
pp. 89 – 95

Abstract

Read online

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