Normalizer Maps Modulo N

YAZICI GÖZÜTOK N.

MATHEMATICS, cilt.10, sa.7, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/math10071046
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: regular maps, normalizer, modular group, SUBORBITAL GRAPHS, CONGRUENCE SUBGROUPS, CIRCUITS
  • Marmara Üniversitesi Adresli: Evet

Özet

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.