- Universal Journal of Mathematics and Applications
- Vol: 5 Issue: 3
- Petrie Paths in Triangular Normalizer Maps
Petrie Paths in Triangular Normalizer Maps
Authors : Nazlı Yazici Gözütok
Pages : 89-95
Doi:10.32323/ujma.1150466
View : 24 | Download : 5
Publication Date : 2022-09-30
Article Type : Research
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