Complete Classification of Flag-Transitive Point一Primitive" `0 F/ d3 A7 k3 P1 ~
2-Designs with Socle" ]: d; U5 X) @) D. G
$ d5 g! ]# i, \& y: J0 S( V 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 h$ R* E- R' L# Z) t