Complete Classification of Flag-Transitive Point一Primitive ) O# t9 d! Q/ B0 p! ~ 2-Designs with Socle @& }* A4 P' O0 {7 p& ? ; r+ W2 m Y1 `# z( y @ 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. , j5 {" s! b5 z `9 c: m: p, d! U0 n( @. UKeywords 2-design; flag-transitive; point-primitive; Mathieu group3 N9 i2 ?& d% s$ `
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