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. Bunina ; M. A. Vladykina

Fundamentalʹnaâ i prikladnaâ matematika, Tome 24 (2023) no. 4, pp. 31-45.

Résumé

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.

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