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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Isomorphisms of adjoint Chevalley groups over integral domains


Author: Yu Chen
Journal: Trans. Amer. Math. Soc. 348 (1996), 521-541
MSC (1991): Primary 20G35, 20E36
DOI: https://doi.org/10.1090/S0002-9947-96-01521-8
MathSciNet review: 1329529
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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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Additional Information

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

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
Article copyright: © Copyright 1996 American Mathematical Society