Unsolvable block transitive automorphism groups of image designs Original Research Article

In this paper, we study block transitive automorphism groups of image block designs. Let image be a image design admitting a block transitive, point primitive but not flag transitive group image of automorphisms. We prove that if image is unsolvable, then image does not admit an exceptional simple group of Lie type as its socle. Moreover, for a image design, we also prove that there does not exist any block transitive, point imprimitive, unsolvable group image of automorphisms.