On the Possible Automorphism Groups of a Steiner Quintuple System of Order 21


Kolotoglu E. , Magliveras S. S.

JOURNAL OF COMBINATORIAL DESIGNS, cilt.22, ss.495-505, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 22 Konu: 12
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/jcd.21370
  • Dergi Adı: JOURNAL OF COMBINATORIAL DESIGNS
  • Sayfa Sayıları: ss.495-505

Özet

A Steiner system S(4, 5, v) is called a Steiner quintuple systems of order v. The smallest order for which the existence, or otherwise, of a Steiner quintuple system is unknown is 21. In this article, we prove that, if an S(4, 5, 21) exists, the order of its full automorphism group is 1, 2, 3, 4, 5, 6, 7, or 10. (C) 2013 Wiley Periodicals, Inc.