Complete Classification of Flag-Transitive Point一Primitive+ [& r2 d/ ] |: m& S0 `
2-Designs with Socle3 O% R: h% |, V8 E' p+ f9 M- Q
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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./ n, e+ f; _. U3 c t
+ z4 M7 g+ L' X! uKeywords 2-design; flag-transitive; point-primitive; Mathieu group ( K% M4 T5 z6 Z- g( Q1 ?% g# J5 x J* @9 F