Complete Classification of Flag-Transitive Point一Primitive 3 i6 X3 h# e9 E) I I& R 2-Designs with Socle 2 `7 j7 b' K- Z' o# h s: M$ Q5 ^: @ u; x! y3 | In recent years several authors have determined some 2-designs with flag-transitive point-primitive automorphism group G of almost simple type with sporadic socle. Here we obtain the complete classification of flag-transitive point-primitive non-trivial 2-designs with socle Mli,and find that there are precisely 14 such nonisomorphic 2-designs.( V* l5 }+ k& K
+ C$ O# k$ W0 m% p6 i5 k- U Keywords 2-design; flag-transitive; point-primitive; Mathieu group5 s) F, ]% B& ]# V7 I4 b