Automorphisms of Chevalley groups of different types over commutative rings

被引：7
|
作者：
Bunina, E. I. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Dept Higher Algebra, Moscow, Russia
来源：
JOURNAL OF ALGEBRA | 2012年 / 355卷 / 01期
关键词：
Chevalley groups over rings; Automorphisms; Isomorphisms; Adjoint groups;
D O I：
10.1016/j.jalgebra.2012.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that every automorphism of (elementary) adjoint Chevalley group with root system of rank > 1 over a commutative ring (with 1/2 for the systems A(2), F-4, B-l, C-l; with 1/2 and 1/3 for the system G(2)) is standard, i.e., it is a composition of ring, inner, central and graph automorphisms. (C) 2012 Elsevier Inc. All rights reserved.
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页码：154 / 170
页数：17
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