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, cilt.50, ss.67-74, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 50 Konu: 1
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1023/a:1022437119644
  • Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Sayfa Sayısı: ss.67-74

Özet

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.