Abstract
In this paper, we prove that every element of the linear group GL14(R) normalizing the Chevalley group of type G 2 over a commutative local ring R without 1/2 belongs to this group up to some multiplier. This allows us to improve our classification of automorphisms of these Chevalley groups showing that an automorphism-conjugation can be replaced by an inner automorphism. Therefore, it is proved that every automorphism of a Chevalley group of type G 2 over a local ring without 1/2 is a composition of a ring and an inner automorphisms.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 18, No. 1, pp. 57–62, 2013.
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Bunina, E.I., Veryovkin, P.A. Normalizers of Chevalley Groups of Type G 2 Over Local Rings Without 1/2. J Math Sci 201, 446–449 (2014). https://doi.org/10.1007/s10958-014-2004-y
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DOI: https://doi.org/10.1007/s10958-014-2004-y