Complete Classification of Flag-Transitive Point一Primitive8 R4 b8 Q) j B0 ^" ~
2-Designs with Socle/ c& a8 Z9 b! J. E; | R
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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. ; q* T' W$ N" Z& z+ I8 a: W" G- O7 Z Keywords 2-design; flag-transitive; point-primitive; Mathieu group Z7 r, r( Z7 s' q3 Z% n ! q3 e1 \: x4 `, o1 G+ P3 P