Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups

Alavi, S. H.; Bayat, M.

Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups

Document Type : Research Paper

Authors

S. H. Alavi ¹
M. Bayat ²

¹ ‎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.

² ‎Department of Mathematics‎, ‎Faculty of Science‎, ‎Bu-Ali Sina University‎, ‎Hamedan Iran.

Abstract

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).

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Main Subjects