Finiteness of \(R\)-equivalence groups of some adjoint classical groups of type \(^2D_3\).
type: Item
instance of: scholarly article
title: Finiteness of \(R\)-equivalence groups of some adjoint classical groups of type \(^2D_3\).
zbMATH Open document ID: 1126.20027
author: Grégory Berhuy
published in: Journal of Algebra
publication date: 2007-04-11T00:00:00Z
review text: For an algebraic group \(G\) defined over a field \(F\), let \(G(F)/R\) be the group of \(R\)-equivalence classes introduced by Manin. Examples of \(G\) are given such that \(G\) is connected, linear, adjoint, not defined over a global field, not quasi-split, while \(G(F)/R\) is finite and non-trivial.
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 11E72
Mathematics Subject Classification ID: 14L30
zbMATH DE Number: 5141720
zbMATH Keywords: \(R\)-equivalence groups
zbMATH Keywords: classical adjoint groups
zbMATH Keywords: unramified cohomology
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2006.07.005
OpenAlex ID: W2088909516
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DOI: 10.1016/J.JALGEBRA.2006.07.005
description: scientific article; zbMATH DE number 5141720