Complete Classification of Flag-Transitive Point一Primitive8 M1 T# c3 a' m. G2 ~
2-Designs with Socle. ]5 B; V* r$ V; Z% ?
9 G% g2 d R: r2 k* S 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.- W0 |, B( n9 z6 t0 x
: _# z2 N0 T* z, W$ pKeywords 2-design; flag-transitive; point-primitive; Mathieu group 7 D/ G" v3 I. B' U* e! ^6 r% e! H) k