Complete Classification of Flag-Transitive Point一Primitive / ~; {4 h$ u1 |' A4 T" } 2-Designs with Socle6 x7 x: H6 `0 V7 w% r! M. t* l2 T/ b9 i
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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. 9 v1 } t" r+ J. b5 p# L& o0 f7 q! `, m Keywords 2-design; flag-transitive; point-primitive; Mathieu group ( }# Y% }# E( @ d$ b9 Z& ^ & K* `% Y& X5 @# j( v