1-Designs from the group PSL2(59) and their automorphism groups

Abstract

In this paper, we consider the projective special linear group PSL2(59) and construct some 1-designs by applying the Key-Moori method on PSL2(59). Moreover, we obtain parameters of these designs and their automorphism groups. It is shown that PSL2(59) and PSL2(59):2 appear as the automorphism group of the constructed designs.

Keywords

• design
• automorphism group
• projective special linear group