Complete Classification of Flag-Transitive Point一Primitive: a3 g5 J/ j {
2-Designs with Socle, n5 Q, L( U9 D8 l9 \( p' a
9 o+ t7 Y! M3 Q3 I; g+ D. T 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.9 J9 ?9 t' V6 z% \# S9 {
. c* Y8 ^& p( zKeywords 2-design; flag-transitive; point-primitive; Mathieu group ! s2 X! h) G4 L2 @& w) k. `; w$ O! a3 z" r' g- }2 H7 V