Complete Classification of Flag-Transitive Point一Primitive: w0 B8 v0 o t3 b. |7 |; Q$ F
2-Designs with Socle " r3 Y# i* z! Q/ j/ s8 c- { 9 _% y4 B. m2 @6 j" W 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. ' J( w* ^! c4 p; s! l7 u$ T2 u9 x/ L- f# H/ @2 O: m* A2 E0 f7 } Keywords 2-design; flag-transitive; point-primitive; Mathieu group 8 r# G% _) h o! x, ]9 J+ j: i* U. m; H2 e9 ~