Isomorphisms of adjoint Chevalley groups over integral domains

Chen, Yu

doi:10.1090/S0002-9947-96-01521-8

Isomorphisms of adjoint Chevalley groups over integral domains
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Trans. Amer. Math. Soc. 348 (1996), 521-541 Request permission

Abstract:

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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