Complete Classification of Flag-Transitive Point一Primitive( l$ V7 t: J$ X j* b8 r& s
2-Designs with Socle% L3 c& n! |( |. C
7 T( K% s0 J L! L$ F0 B 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.5 _- I& |, S2 ]/ K
- v8 U2 R2 \7 Z. w0 i$ t: j/ N Keywords 2-design; flag-transitive; point-primitive; Mathieu group. s4 ]% I/ K ]
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