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

雩风三日

Complete Classification of Flag-Transitive Point一Primitive
7 w2 _  w) v% T+ J  ~                  2-Designs with Socle

3 @) ^. S9 q( D8 I4 k        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.
! O5 R) e& n( k* l9 s
Keywords  2-design; flag-transitive; point-primitive; Mathieu group
2 V4 o' c/ k% N6 L1 G# z" B+ @$ d
# ?; U( @8 k: w7 B