3-Designs from PSL(2, q)

The group PSL(2, q) is 3-homogeneous on the projective line when q is a prime power congruent to 3 modulo 4 and therefore it can be used to construct 3-designs. In this paper, we determine all 3-designs admitting PSL(2, q) with block size not congruent to 0 and 1 modulo p where q = pn. Key words: t-designs, automorphism groups, projective special linear groups, subgroup lattices, M

• Type: Journal
• Year: 2006
• Where: DM
• Authors: Peter J. Cameron, Hamid Reza Maimani, G. R. Omidi, Behruz Tayfeh-Rezaie
• Keywords: DM 2006, Prime Power Congruent, Projective Line, Projective Special Linear