Automorphisms of a Chevalley Group of Type G₂ Over a Commutative Ring R with 1/3 Generated by the Invertible Elements and 2R

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2024年9月10日

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E. I. Bunina,
M. A. Vladykina

摘要

In this paper, we prove that every automorphism of a Chevalley group with the root system G₂ 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.

Automorphisms of a Chevalley Group of Type G2 Over a Commutative Ring R with 1/3 Generated by the Invertible Elements and 2R

摘要

Automorphisms of a Chevalley Group of Type G₂ Over a Commutative Ring R with 1/3 Generated by the Invertible Elements and 2R