Автоморфизмы групп Шевалле типа F4 над локальными кольцами с необратимой двойкой

E. I. Bunina; V. V. Kirakosyan

Автоморфизмы групп Шевалле типа F₄ над локальными кольцами с необратимой двойкой

Translated title of the contribution: Automorphisms of Chevalley groups of type F₄ over local rings without 1/2

E. I. Bunina
, V. V. Kirakosyan

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 of type F₄ over a commutative local ring without 1/2 is a composition of a ring automorphism, a graph automorphism, and a conjugation by some matrix in the adjoint representation space.

Translated title of the contribution	Automorphisms of Chevalley groups of type F₄ over local rings without 1/2
Original language	Russian
Pages (from-to)	37-70
Number of pages	34
Journal	Fundamental and Applied Mathematics
Volume	25
Issue number	3.2
State	Published - 2025

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics

Cite this

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title = "Автоморфизмы групп Шевалле типа F4 над локальными кольцами с необратимой двойкой",

abstract = "In this paper, we prove that every automorphism of a Chevalley group of type F4 over a commutative local ring without 1/2 is a composition of a ring automorphism, a graph automorphism, and a conjugation by some matrix in the adjoint representation space.",

author = "Bunina, \{E. I.\} and Kirakosyan, \{V. V.\}",

year = "2025",

language = "الروسيّة",

volume = "25",

pages = "37--70",

number = "3.2",

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T1 - Автоморфизмы групп Шевалле типа F4 над локальными кольцами с необратимой двойкой

AU - Bunina, E. I.

AU - Kirakosyan, V. V.

PY - 2025

Y1 - 2025

N2 - In this paper, we prove that every automorphism of a Chevalley group of type F4 over a commutative local ring without 1/2 is a composition of a ring automorphism, a graph automorphism, and a conjugation by some matrix in the adjoint representation space.

AB - In this paper, we prove that every automorphism of a Chevalley group of type F4 over a commutative local ring without 1/2 is a composition of a ring automorphism, a graph automorphism, and a conjugation by some matrix in the adjoint representation space.

UR - https://www.scopus.com/pages/publications/105031479945

M3 - مقالة

SN - 1560-5159

VL - 25

SP - 37

EP - 70

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 3.2

ER -

Автоморфизмы групп Шевалле типа F₄ над локальными кольцами с необратимой двойкой

Abstract

ASJC Scopus subject areas

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