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

E. I. Bunina; M. A. Vladykina

doi:10.1007/s10958-024-07361-0

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

E. I. Bunina
, M. A. Vladykina

Department of Mathematics

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	431-441
Number of pages	11
Journal	Journal of Mathematical Sciences (United States)
Volume	284
Issue number	4
DOIs	https://doi.org/10.1007/s10958-024-07361-0
State	Published - Sep 2024

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© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

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10.1007/s10958-024-07361-0

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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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