Solutions to some congruence equations via suborbital graphs

GÜLER B. Ö., Kor T., Sanli Z.

SPRINGERPLUS, vol.5, 2016 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 5
  • Publication Date: 2016
  • Doi Number: 10.1186/s40064-016-3016-5
  • Journal Name: SPRINGERPLUS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Normalizer, Imprimitive action, Suborbital graphs, NORMALIZER
  • Karadeniz Technical University Affiliated: Yes

Abstract

We relate the connection between the sizes of circuits in suborbital graph for the normalizer of Gamma(0)(m) in PSL(2,R) and the congruence equations arising from related group action. We give a number theoretic result which says that all prime divisors of 3u(2) -/+ 3u + 1 for any integer u must be congruent to 1 (mod 3).