In 1988, Buekenhout et. al. [2] proved that that if a linear space admits a flag-transitive au- tomorphism group G, then G is either of affine or almost simple type.Although, flag-transitive symmetric designs are not point-primitive, Regueiro [3] proved that an flag-transitive and point- primitive automorphism group of such designs for λ ≤ 4 is of almost simple or affine type. In 1988, Zieschang [5] proved that if G is a flag-transitive automorphism group of a 2-design with (r,λ) = 1, then G is an affine or almost simple group, and the same result has been proved when λ ≥ (r,λ) 2 [4]. In this talk, we present some recent studies in this subject [1]
