Complete Classification of Flag-Transitive Point一Primitive 9 @. F F( ~: h* I1 }( T& o7 l4 O 2-Designs with Socle# ]" G+ [1 [9 H" ~
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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. " d. B1 J+ u1 {1 T- u- v _# o 7 ?! j" ~' K* Y3 z3 d6 @$ ]( t. {Keywords 2-design; flag-transitive; point-primitive; Mathieu group- U, b5 @1 X& N4 V
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