Disconnectedness of the subgraph F-3 for the group Gamma(3)
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.