【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 l1 X3 E- G1 q                  2-Designs with Socle

        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 ~" [* [' ?) i0 r" N# S4 oKeywords  2-design; flag-transitive; point-primitive; Mathieu group