Standardness and Standard Automorphisms of Chevalley Groups,Ⅰ:the Case of Rank at Least Two

作     者：Carla BARDINI 

作者机构：Department of MathematicsUniversity of Milanovia C.Saldini 5020133MilanoItaly. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2012年第33卷第5期

页      面：783-800页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Chevalley groups Standardness Standard automorphism 

摘      要：The author studies the linkage between the standardness and the standard automorphisms of ChevMley groups over rings. It is proved that if H is any standard subgroup of G（R）, then each of its automorphisms can be extended to an automorphism of G（R, I）, restricted to an automorphism of E（R, I）, and an automorphism of E（R, I） can be extended to one of G（R, I）. The case of Chevalley groups of rank at least two is treated in this paper. Further results about the case of Chevalley groups of rank one, the case of nomcommutative ground ring and some others exceptions will appear elsewhere.