A new efficient presentation for PSL(2,5) and the structure of the groups G(3,m,n)
CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.50, no.1, pp.67-74, 2000 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 50 Issue: 1
- Publication Date: 2000
- Doi Number: 10.1023/a:1022437119644
- Journal Name: CZECHOSLOVAK MATHEMATICAL JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.67-74
- Open Archive Collection: AVESIS Open Access Collection
- Çukurova University Affiliated: No
Abstract
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.