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Fundamentalnaya i Prikladnaya Matematika, 2023, Volume 24, Issue 4, Pages 31–45 (Mi fpm1945)  
Automorphisms of a Chevalley group of type $\mathbf G_2$ over a commutative ring $R$ with $1/3$ generated by the invertible elements and $2R$

E. I. Buninaa, M. A. Vladykinab

a Bar-Ilan University, Ramat Gan
b Lomonosov Moscow State University
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Abstract: In this paper, we prove that every automorphism of a Chevalley group with the root system $\mathbf G_2$ over a commutative ring $R$ with $1/3$ generated by the invertible elements and the ideal $2R$ is a composition of ring and inner automorphisms.
English version:
Journal of Mathematical Sciences (New York), 2024, Volume 284, Issue 4, Pages 431–441
DOI: https://doi.org/10.1007/s10958-024-07361-0
Document Type: Article
UDC: 512.552
Language: Russian
Citation: E. I. Bunina, M. A. Vladykina, “Automorphisms of a Chevalley group of type $\mathbf G_2$ over a commutative ring $R$ with $1/3$ generated by the invertible elements and $2R$”, Fundam. Prikl. Mat., 24:4 (2023), 31–45; J. Math. Sci., 284:4 (2024), 431–441
Citation in format AMSBIB
\Bibitem{BunVla23}
\by E.~I.~Bunina, M.~A.~Vladykina
\paper Automorphisms of a~Chevalley group of type $\mathbf G_2$ over a~commutative ring~$R$ with $1/3$ generated by the invertible elements and~$2R$
\jour Fundam. Prikl. Mat.
\yr 2023
\vol 24
\issue 4
\pages 31--45
\mathnet{http://mi.mathnet.ru/fpm1945}
\transl
\jour J. Math. Sci.
\yr 2024
\vol 284
\issue 4
\pages 431--441
\crossref{https://doi.org/10.1007/s10958-024-07361-0}
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