Complete Classification of Flag-Transitive Point一Primitive 1 G: Y: ]- F1 W1 a5 O1 q! E e 2-Designs with Socle & d$ @1 i4 _& m/ i6 N # p9 p/ z" \* e! N 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 a9 Z |# Y% i
. Y8 F9 _, E; A Keywords 2-design; flag-transitive; point-primitive; Mathieu group ( c6 S/ e& N$ v$ B+ D/ u3 f I6 E3 h4 c4 B. j) U6 h+ l' m