Characterization of Finite Simple Groups With Abelian Sylow 2-Subgroups  

作　　者：R. Brandl 施武杰 

机构地区：[1]Mathematisches Institut, Am Hubland 12, D-W-8700 Wurzburg, Germany [2]Department of Mathematics, Southwest China Normal University, Chongqing 630715, PRC

出　　处：《Chinese Science Bulletin》1994年第10期876-876,共1页

摘　　要：For the non-Abelian simple groups with Abelian Sylow 2-subgroups J. H. Walterhas proved the following famous theorem. Lemma 1. If F is a non-Ablian simple group with Abelian Sylow 2-subgroups, thenone of the following holds:（i）F≌PSL（2,Q）,q】3,q≡3,5（mod 8） or q=2ⁿ,n≥2;（ii）F≌J₁;（iii）F≌R（q）,q=3^2m+1,m≥1.Let G be a finite group and let π_e（G） denote the set of all orders of elements

关 键 词：Characterization of Finite Simple Groups With Abelian Sylow 2-Subgroups 

分 类 号：O152[理学—数学]