Complete Classification of Flag-Transitive Point一Primitive5 g' M; j; }) _2 h! }& L
2-Designs with Socle8 P v+ _+ v+ B- n
0 V1 O# y9 Y6 z 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.& Y, E6 v7 |0 x$ t/ n1 v
" Q* G& D+ a: K4 UKeywords 2-design; flag-transitive; point-primitive; Mathieu group / d u Y4 R) Q# f( v2 o 1 K- M$ Q0 k/ ?' F9 Q% e7 X