Suborbital Graphs for a Special Subgroup of the SL(3, Z)

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Besenk M.

FILOMAT, vol.30, no.3, pp.593-602, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603593b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.593-602
  • Karadeniz Technical University Affiliated: No

Abstract

In this paper we examine some properties of suborbital graphs for the group SL*(3, Z). We first introduce an invariant equivalence relation by using the congruence subgroup SL*(3, Z) instead of Gamma(0)(n) and obtain some results for the newly constructed subgraphs F-u,F-n whose vertices form the block [infinity]. We obtain edge and circuit conditions and some relations between lengths of circuits in F-u,F- n and elliptic elements of Gamma(0)(n).