On normal Abelian subgroups in parabolic groups
type: Item
instance of: scholarly article
title: On normal Abelian subgroups in parabolic groups
zbMATH Open document ID: 0933.20034
author: Gerhard Röhrle
publication date: 1998-11-29T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75326
review text: Let \(G\) be a reductive algebraic group over an algebraically closed field, \(P\) a parabolic subgroup of \(G\), and \(A\) a closed connected normal Abelian subgroup of \(P\) in the unipotent radical of \(P\). It is shown that \(P\) has only finitely many orbits on \(A\).
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 17B45
zbMATH DE Number: 1227218
zbMATH Keywords: reductive algebraic groups
zbMATH Keywords: parabolic subgroups
zbMATH Keywords: numbers of orbits
reviewed by: Vladimir L. Popov
MaRDI profile type: Publication
OpenAlex ID: W2035999102
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DOI: 10.5802/AIF.1662
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1227218