Document Type : Research Paper
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran newline and newline School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran.
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan Iran.
The main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSL(3,q). We indeed show that the only possible design satisfying these conditions is a Desarguesian projective plane PG(2,q) and G > PSL(3,q).