Sporadic groups and flag-transitive triplanes  

作　　者：ZHOU ShengLin DONG HuiLi 

机构地区：[1]Department of Mathematics,South China University of Technology,Guangzhou 510640,China [2]Department of Mathematics,Shantou University,Shantou 515063,China

出　　处：《Science China Mathematics》2009年第2期394-400,共7页中国科学：数学（英文版）

基　　金：supported by Scientific Research Foundation for the Returned Overseas Scholars, Ministry of Education of China

摘　　要：Let D be a triplane, i.e., a 2-(ν, k, 3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a sporadic simple group.Let D be a triplane, i.e., a 2-(v,k,3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a sporadic simple group.

关 键 词：triplane symmetric design FLAG-TRANSITIVE point-primitive sporadic simple group 05B05 05B25 20B25 

分 类 号：O157.5[理学—数学]