Designs from the groups PSL2(q) for certain q

Abstract

Using primitive actions of the projective special linear groups PSL₂(q), q = 37, 41, 43, 47 and 49 some 1-designs are constructed. The automorphism group of all the constructed designs are found. It is shown that all subgroups of the automorphism group of PSL₂(q), q = 37, 41, 43, 47 and 49 appear as the automorphism group of the constructed designs.

Quaestiones Mathematicae 32(2009), 297–306