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

Document Type: Research Paper

Authors

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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Volume 42, Issue 1
January and February 2016
Pages 201-221
  • Receive Date: 06 November 2014
  • Revise Date: 05 December 2014
  • Accept Date: 06 December 2014