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

雩风三日

Complete Classification of Flag-Transitive Point一Primitive
                  2-Designs with Socle
* S& \1 D/ D7 f
        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.
, K: g# P  s! z; f* p
Keywords  2-design; flag-transitive; point-primitive; Mathieu group

2 R& |' m0 m& Y* f- x$ D/ H