Complete Classification of Flag-Transitive Point一Primitive+ f& o$ Q; [) E9 z5 r$ Q8 X
2-Designs with Socle8 y7 \/ f$ _. s& o9 d* x6 a
% n: w# }8 c0 f8 e0 d, Q 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. ( E! g9 |' y" s- {) Y9 D0 J& @ Keywords 2-design; flag-transitive; point-primitive; Mathieu group + Q* K1 M i5 W+ N" g6 A& n" ?. N& l( |& u: N* y