Automorphisms of Chevalley Groups of Type G2 Over Local Rings Without 1/2

E. I. Bunina; P. A. Veryovkin

doi:10.1007/s10958-014-1729-y

Automorphisms of Chevalley Groups of Type G₂ Over Local Rings Without 1/2

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

Abstract

In this paper, we prove that every automorphism of a Chevalley group of type G ₂ over a commutative local ring without 1/2 is the composition of a ring automorphism and a conjugation by some matrix.

Original language	English
Pages (from-to)	479-491
Number of pages	13
Journal	Journal of Mathematical Sciences
Volume	197
Issue number	4
DOIs	https://doi.org/10.1007/s10958-014-1729-y
State	Published - Mar 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

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title = "Automorphisms of Chevalley Groups of Type G2 Over Local Rings Without 1/2",

abstract = "In this paper, we prove that every automorphism of a Chevalley group of type G 2 over a commutative local ring without 1/2 is the composition of a ring automorphism and a conjugation by some matrix.",

author = "Bunina, \{E. I.\} and Veryovkin, \{P. A.\}",

year = "2014",

month = mar,

doi = "10.1007/s10958-014-1729-y",

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pages = "479--491",

journal = "Journal of Mathematical Sciences",

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T1 - Automorphisms of Chevalley Groups of Type G2 Over Local Rings Without 1/2

AU - Bunina, E. I.

AU - Veryovkin, P. A.

PY - 2014/3

Y1 - 2014/3

N2 - In this paper, we prove that every automorphism of a Chevalley group of type G 2 over a commutative local ring without 1/2 is the composition of a ring automorphism and a conjugation by some matrix.

AB - In this paper, we prove that every automorphism of a Chevalley group of type G 2 over a commutative local ring without 1/2 is the composition of a ring automorphism and a conjugation by some matrix.

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U2 - 10.1007/s10958-014-1729-y

DO - 10.1007/s10958-014-1729-y

M3 - مقالة

SN - 1072-3374

VL - 197

SP - 479

EP - 491

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 4

ER -

Automorphisms of Chevalley Groups of Type G₂ Over Local Rings Without 1/2

Abstract

All Science Journal Classification (ASJC) codes

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