The \(R\)-equivalence on reductive algebraic groups defined over a global field
type: Item
instance of: scholarly article
title: The \(R\)-equivalence on reductive algebraic groups defined over a global field
zbMATH Open document ID: 0943.20044
DOI: 10.1007/BF02698903
author: P. Gille
published in: Publications Mathématiques
publication date: 1998-09-30T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/104124
review text: The following theorem is the main result of this paper. Theorem. Let \(G\) be a reductive algebraic \(k\)-group defined over a global field \(k\). Then the set of \(R\)-equivalence classes on the set \(G(k)\) of \(k\)-rational points of \(G\) is finite.
Mathematics Subject Classification ID: 20G30
Mathematics Subject Classification ID: 14G05
zbMATH DE Number: 1171965
zbMATH Keywords: reductive groups over global fields
zbMATH Keywords: \(R\)-equivalence
zbMATH Keywords: rational points
reviewed by: Vladimir L. Popov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1171965