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.