It is proved that every automorphism of an elementary adjoint Chevalley group of type A l , D l , or E l over a local commutative ring with 1/2 is a composition of a ring automorphism and conjugation by some matrix from the normalizer of that Chevalley group in GL(V) (V is an adjoint representation space).
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Supported by RFBR (project No. 08-01-00693) and by the Council for Grants (under RF President) for State Support of Young Candidates of Science (project MK-2530.2008.1).
Translated from Algebra i Logika, Vol. 48, No. 4, pp. 443–470, July–August, 2009.
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Bunina, E.I. Automorphisms of elementary adjoint Chevalley groups of types A l , D l , and E l over local rings with 1/2. Algebra Logic 48, 250–267 (2009). https://doi.org/10.1007/s10469-009-9061-1
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DOI: https://doi.org/10.1007/s10469-009-9061-1