On Suborbital Graphs for the Group Gamma(3)

Kesicioglu Y., AKBAŞ M.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.46, no.6, pp.1731-1744, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.1007/s41980-020-00354-0
  • Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1731-1744
  • Keywords: Modular group, Suborbital graphs, Connectedness, Forest, CONGRUENCE SUBGROUPS, CIRCUITS
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this paper, we investigate suborbital graphs generated by the action of the group G 3 which is the group obtained from the third powers of the elements of the modular group G on Q. {8}. First, we give necessary and sufficient conditions for an edge to be in the related graphs. Then, we investigate connectedness of the graphs.