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

雩风三日

Complete Classification of Flag-Transitive Point一Primitive
  X: Z6 B( L( o                  2-Designs with Socle

7 l( u. A; R3 H- h        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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1 y. {0 ^) _# |! k+ \# N- j; A& i* t3 `Keywords  2-design; flag-transitive; point-primitive; Mathieu group