Complete Classification of Flag-Transitive Point一Primitive$ X7 X! f, S0 |* [1 o; ~
2-Designs with Socle! E- W5 l; Z* {( L
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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. / ?: A g$ i, g4 C5 j: Q2 C' I+ L Keywords 2-design; flag-transitive; point-primitive; Mathieu group% Z. T5 A: c8 V8 |; D
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