On 2-(v,k,λ) Designs with Flag-Transitive Automorphism Groups of Product Action Type.

In this paper we present two new families of 2- (v , k , λ) designs with a flag-transitive and point-primitive automorphism group of product action type. More surprisingly, one of them is still a family of 2- (v , k , λ) designs with a flag-transitive and point-imprimitive automorphism group. [ABSTRACT FROM AUTHOR]