Abstract
The present paper is devoted to studying the maps corresponding to the suborbital graphs for the normalizer ΓB(N) of Γ0(N) modulo N, where N denotes a positive integer. We reveal the complete structure of these maps, finding their vertices, edges, darts, and faces explicitly. The maps we investigated in the present paper were all regular maps of large genus except for some low values of N.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference20 articles.
1. The modular group and generalized Farey graphs;Jones;Lond. Math. Soc. Lect. Note Ser.,1991
2. Suborbital graphs for the group ΓC(N);Gözütok;Bull. Iran. Math. Soc.,2019
3. On suborbital graphs for the group Γ3;Kesicioğlu;Bull. Iran. Math. Soc.,2020
4. Elliptic elements and circuits in suborbital graphs;Güler;Hacettepe J. Math. Stat.,2011
5. Suborbital graphs of the congruence subgroup Γ0(N);Jaipong;Beitr. Algebra Geom.,2019
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Petrie Paths in Triangular Normalizer Maps;Universal Journal of Mathematics and Applications;2022-09-14