【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
4 }% l( J4 N* i" l6 E
        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.

$ [) d6 L% @5 z! `Keywords  2-design; flag-transitive; point-primitive; Mathieu group
4 b- p3 K2 {% a% J+ _' z
# P& E, h( [( ~5 P