Complete Classification of Flag-Transitive Point-Primitive2-Designs with Socle M11  

作　　者：Delu TIAN 

机构地区：[1]Department of Mathematicsf Guangdong University of Education,Guangdong 510303,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第6期551-557,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11801092);the Characteristic Innovation Project(Natural Science)of Guangdong Province(Grant No.2018KTSCX160);the Fund of Guangzhou Science and Technology(Grant No.201804010088)。

摘　　要：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 M11,and find that there are precisely 14 such nonisomorphic 2-designs.

关 键 词：2-design FLAG-TRANSITIVE point-primitive Mathieu group 

分 类 号：O152.1[理学—数学]