Discret. Math. | 2019
Flag-transitive point-quasiprimitive automorphism groups of 2-designs with λ≤4
Abstract
Abstract Let D be a non-trivial 2– ( v , k , λ ) design with λ ≤ 4 , and G ≤ A u t ( D ) be flag-transitive, point-quasiprimitive, then G is of holomorph affine or almost simple type. As a corollary, we obtain that G cannot be an almost simple group if λ ≤ 3 , and also obtain a classification of flag-transitive, point-quasiprimitive and imprimitive 2- ( v , k , 4 ) designs.