Normalizer Maps Modulo N

YAZICI GÖZÜTOK N.

MATHEMATICS, vol.10, no.7, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.3390/math10071046
  • Journal Name: MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: regular maps, normalizer, modular group, SUBORBITAL GRAPHS, CONGRUENCE SUBGROUPS, CIRCUITS
  • Marmara University Affiliated: Yes

Abstract

The present paper is devoted to studying the maps corresponding to the suborbital graphs for the normalizer Gamma(B)(N) of Gamma(0)( 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.