Transactions of the American Mathematical Society

Author(s): Yu Chen
Journal: Trans. Amer. Math. Soc. 348 (1996), 521-541.
MSC (1991): Primary 20G35, 20E36
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 20G35, 20E36

Yu Chen
Affiliation: Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123 Torino, Italy
Email: yuchen@dm.unito.it

DOI: 10.1090/S0002-9947-96-01521-8
PII: S 0002-9947(96)01521-8
Keywords: Chevalley group, elementary subgroup, integral domain, isomorphism
Received by editor(s): May 2, 1994
Additional Notes: Supported in part by Italian M.U.R.S.T. research grant
Copyright of article: Copyright 1996, American Mathematical Society

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