A new efficient presentation for PSL(2,5) and the structure of the groups G(3,m,n)

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Vatansever B., Gill D., Eren N.

CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.50, no.1, pp.67-74, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 1
  • Publication Date: 2000
  • Doi Number: 10.1023/a:1022437119644
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.67-74
  • Çukurova University Affiliated: No


G(3, m, n) is the group presented by [a, b \ a(5) = (ab)(2) = b(m+3)a(-n)b(m)a(-n) = 1]. In this paper, we study the structure of G(3, m, n). We also give a new efficient presentation for the Projective Special Linear group PSL(2, 5) and in particular we prove that PSL(2, 5) is isomorphic to G(3, m, n) under certain conditions.