%0 Journal Article %T Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Alavi, S. H. %A Bayat, M. %D 2016 %\ 02/01/2016 %V 42 %N 1 %P 201-221 %! Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups %K automorphism group %K point-primitive %K flag-transitive %K Symmetric design %R %X 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). %U http://bims.iranjournals.ir/article_753_b2de259655ef54a3651712cda10b8080.pdf