标题: 【热点问题】Complete Classification of Flag-Transitive Point一Primitive [打印本页] 作者: 雩风三日 时间: 2020-12-11 16:09 标题: 【热点问题】Complete Classification of Flag-Transitive Point一Primitive Complete Classification of Flag-Transitive Point一Primitive8 `$ w; F1 G: y$ U! T
2-Designs with Socle 3 M2 R8 p5 j! Z9 ]% N, l: A ! e$ M* G$ M$ {/ u# @ 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.4 o; B, u0 b; l; X
( F) ?; F$ o( _ h, E8 B Keywords 2-design; flag-transitive; point-primitive; Mathieu group * \2 K2 w0 P; [+ T6 I @# L5 x+ r! o5 _! y- _/ {- J