【热点问题】Complete Classification of Flag-Transitive Point一Primitive

雩风三日

Complete Classification of Flag-Transitive Point一Primitive
/ K$ f3 v: \7 _9 K+ s$ _* p6 q* v7 E                  2-Designs with Socle
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7 C7 s0 J" O8 }1 F  I        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.
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7 q+ B& S/ t* R! t  U! QKeywords  2-design; flag-transitive; point-primitive; Mathieu group