Automorphisms of a Chevalley group of type G2 over a commutative ring R with 1/3 generated by the invertible elements and 2R, Fun-, vol. 24 (2023), no. 4, pp. 31—45. damentalnaya i prikladnaya matematika

E. I. Bunina; M. A. Vladykina

Automorphisms of a Chevalley group of type G₂ over a commutative ring R with 1/3 generated by the invertible elements and 2R, Fun-, vol. 24 (2023), no. 4, pp. 31—45. damentalnaya i prikladnaya matematika

E. I. Bunina
, M. A. Vladykina

Department of Mathematics

Bar-Ilan 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)	31-45
Number of pages	15
Journal	Fundamental and Applied Mathematics
Volume	24
Issue number	4
State	Published - 2023

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics

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title = "Automorphisms of a Chevalley group of type G2 over a commutative ring R with 1/3 generated by the invertible elements and 2R, Fun-, vol. 24 (2023), no. 4, pp. 31{\textemdash}45. damentalnaya i prikladnaya matematika",

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.",

author = "Bunina, \{E. I.\} and Vladykina, \{M. A.\}",

year = "2023",

language = "English",

volume = "24",

pages = "31--45",

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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, Fun-, vol. 24 (2023), no. 4, pp. 31—45. damentalnaya i prikladnaya matematika. / Bunina, E. I.; Vladykina, M. A.
In: Fundamental and Applied Mathematics, Vol. 24, No. 4, 2023, p. 31-45.

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

TY - JOUR

T1 - Automorphisms of a Chevalley group of type G2 over a commutative ring R with 1/3 generated by the invertible elements and 2R, Fun-, vol. 24 (2023), no. 4, pp. 31—45. damentalnaya i prikladnaya matematika

AU - Bunina, E. I.

AU - Vladykina, M. A.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85204672099

M3 - Article

SN - 1560-5159

VL - 24

SP - 31

EP - 45

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 4