Complete Classification of Flag-Transitive Point一Primitive 7 q6 I* G% g4 N3 O. T 2-Designs with Socle8 i* X' ~2 N7 r8 N- N
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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. . Z1 p1 E3 I- ]0 X! \ . i, O6 E' m0 eKeywords 2-design; flag-transitive; point-primitive; Mathieu group, w! x- S; u' ^9 R+ O# ]3 U2 W
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