Efficient presentations of the group PSL(2,Z(n))xPSL(2,Z(m)), for certain n, m.

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Vatansever B.

MATHEMATICA SCANDINAVICA, vol.80, no.2, pp.188-194, 1997 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 2
  • Publication Date: 1997
  • Doi Number: 10.7146/math.scand.a-12618
  • Journal Name: MATHEMATICA SCANDINAVICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.188-194
  • Çukurova University Affiliated: No

Abstract

We give deficiency -4 presentations of the groups PSL(2, Z(n)) x PSL(2, Z(m)), n, m odd numbers and [(n = 1(mod6) and m = 1(mod6)) or (n = 1(mod6) and m = -1(mod6)) or (n = 1(mod6) and m = -1(mod6)) or (n = -1(mod6) and m = 1(mod6))]. Moreover efficient presentations are given for certain cases of the groups considered.