Disconnectedness of the subgraph F-3 for the group Gamma(3)


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AKBAŞ M., Kor T., KESICIOGLU Y.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-283
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: modular group, suborbital graph, disconnectedness, Fibonacci numbers
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper we show that the subgraph F-3 is disconnected and that for all integers m, we find all integers a and b such that (9m(2) - 4)a(2) + 4 and 5b(2) +/- 4 are square. It turns out that the set of numbers b comprises the Fibonacci numbers.