Automorphisms of simple Chevalley groups over \(Q\)-algebras
type: Item
instance of: scholarly article
title: Automorphisms of simple Chevalley groups over \(Q\)-algebras
zbMATH Open document ID: 0829.20070
author: Yu Chen
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1995-07-19T00:00:00Z
review text: Let \(R\) be a commutative \(\mathbf Q\)-algebra without zero divisors. Suppose \(G(R)\) is a simple Chevalley group of adjoint type, and the rank of \(G\) is greater than 1. Let \(H\) be a subgroup of \(G(R)\) containing the elementary group \(E(R)\). The author proves that all the automorphisms of \(H\) are of the ``standard form''. This leads to the result that \(G(R)\) and \(E(R)\) have isomorphic automorphism groups.
Mathematics Subject Classification ID: 20G35
Mathematics Subject Classification ID: 20E36
Mathematics Subject Classification ID: 20F28
zbMATH DE Number: 772422
zbMATH Keywords: standard automorphisms
zbMATH Keywords: simple Chevalley group
zbMATH Keywords: elementary group
zbMATH Keywords: automorphism groups
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225636
OpenAlex ID: W2024392941
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DOI: 10.2748/TMJ/1178225636
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description: scientific article; zbMATH DE number 772422