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
Volume	284
Issue number	4
DOIs	https://doi.org/10.1007/s10958-024-07361-0
State	Published - Sep 2024

Bibliographical note

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

Access to Document

10.1007/s10958-024-07361-0

Cite this

@article{c4e52cda4c9d4ec3b46776d49c916736,

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

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.}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.",

year = "2024",

month = sep,

doi = "10.1007/s10958-024-07361-0",

language = "אנגלית",

volume = "284",

pages = "431--441",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "4",

}

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

AU - Bunina, E. I.

AU - Vladykina, M. A.

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

PY - 2024/9

Y1 - 2024/9

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 - http://www.scopus.com/inward/record.url?scp=85203397637&partnerID=8YFLogxK

U2 - 10.1007/s10958-024-07361-0

DO - 10.1007/s10958-024-07361-0

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85203397637

SN - 1072-3374

VL - 284

SP - 431

EP - 441

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 4

ER -

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

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this