Complete Classification of Flag-Transitive Point一Primitive ) U& S' Z) O7 `! S5 g 2-Designs with Socle $ S& N. n' D$ Y" q # s5 W; L- a) F! Q( _6 G$ u% W 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.2 }" O0 f0 [4 v, w6 v
/ P, \, \. t& x/ {/ i5 b Keywords 2-design; flag-transitive; point-primitive; Mathieu group }* `+ w! C- k) E0 D( S2 i6 R9 m9 ^