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

Document Type : Original Scientific Paper


Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, 87317-53153 I. R. Iran


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.


Main Subjects

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