On Steiner Systems \(S(5, 6,48)\)

M.J. Grannell1, T.S. Griggs1, R.A. Mathon2
1Department of Mathematics and Statistics Lancashire Polytechnic Preston PRI 2TQ United Kingdom
2Department of Computer Science University of Toronto Toronto, Ontario, M5S 1A4 Canada

Abstract

We prove that there exist precisely \(459\) pairwise non-isomorphic Steiner systems \(S(5,6,48)\) stabilized by the group \({PSL}_2(47)\).