Isomorphisms of adjoint Chevalley groups over integral domains

被引:7
|
作者
Chen, Y
机构
关键词
Chevalley group; elementary subgroup; integral domain; isomorphism;
D O I
10.1090/S0002-9947-96-01521-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that every automorphism of an adjoint Chevalley group over an integral domain containing the rational number field is uniquely expressible as the product of a ring automorphism, a graph automorphism and an inner automorphism while every isomorphism between simple adjoint Chevalley groups can be expressed uniquely as the product of a ring isomorphism, a graph isomorphism and an inner automorphism. The isomorphisms between the elementary subgroups are also found having analogous expressions.
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页码:521 / 541
页数:21
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