Complete Classification of Flag-Transitive Point一Primitive 7 s* x, }( T6 m, J! T 2-Designs with Socle" J5 _. V$ U4 _8 _
, f! \: A ^. B$ V3 r0 ]0 O/ \
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. ' {) t0 l; R% k- X8 o6 g9 Z5 _2 c5 W2 `* m5 o$ \ Keywords 2-design; flag-transitive; point-primitive; Mathieu group# W" h! ^" g7 C* F
: h( A* R# Q5 `% P9 P8 I9 f4 q5 ?* F