Complete Classification of Flag-Transitive Point一Primitive p/ O2 v2 P% x: ]' o
2-Designs with Socle9 N8 f g" P7 W8 m* K
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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.$ |0 s( u& H; l# Q& j M2 { A
, n; |8 F B( r* g0 l# y; o( VKeywords 2-design; flag-transitive; point-primitive; Mathieu group ; c0 t$ g) L) V0 p {& L& e" b" W