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

Creative Commons License

Besenk M.

FILOMAT, cilt.30, ss.593-602, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1603593b
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.593-602


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).