Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups201221753ENS. H.AlaviDepartment 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.M.BayatDepartment of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan Iran.Journal Article20141106The 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).http://bims.iranjournals.ir/article_753_b2de259655ef54a3651712cda10b8080.pdf