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

Document Type : Research Paper


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.


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).


Main Subjects

Volume 42, Issue 1 - Serial Number 1
February 2016
Pages 201-221
  • Receive Date: 06 November 2014
  • Revise Date: 05 December 2014
  • Accept Date: 06 December 2014
  • First Publish Date: 01 February 2016