Complete Classification of Flag-Transitive Point一Primitive$ s9 E: s. n) M Y" ~* P
2-Designs with Socle 6 w0 ^" ~$ w$ P3 N" u1 {9 H v6 S8 \9 K1 ]) L6 y
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.. o0 K* ]: u- n, |. `
5 o* u2 A( @5 v Keywords 2-design; flag-transitive; point-primitive; Mathieu group 5 F% Y: M: b) d3 j: J# \$ y# C & ]( N2 {3 U* {# j; B, B F; m- p' [& D