Complete Classification of Flag-Transitive Point一Primitive1 u; ^2 ?* k" o- H8 Z3 P: h
2-Designs with Socle 7 S5 U1 s; V+ B+ L1 K3 Z/ B2 D2 C5 R0 T9 `0 f
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.' `; L- \, b6 g# ^. `/ I; M
( a4 k4 r6 J4 A" r6 t; L: L8 B Keywords 2-design; flag-transitive; point-primitive; Mathieu group; Q* x: {3 L* J7 [+ o2 N9 V0 M
% }8 I2 i- c5 {5 p% S) H' M9 G