Complete Classification of Flag-Transitive Point一Primitive$ F a, X- e( F! D% r
2-Designs with Socle ! ]/ t9 y; m. } z% T( H4 v' g. F/ `) Q, v3 j
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.; p# s0 X8 l/ ~7 N* N% _% M
" i m# Y# ?: s1 H! A: ^5 [Keywords 2-design; flag-transitive; point-primitive; Mathieu group, c# _( V @ B+ n7 D6 G5 u