On normal Abelian subgroups in parabolic groups (Q1272263)
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scientific article; zbMATH DE number 1227218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On normal Abelian subgroups in parabolic groups |
scientific article; zbMATH DE number 1227218 |
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On normal Abelian subgroups in parabolic groups (English)
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29 November 1998
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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 \(A\).
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reductive algebraic groups
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parabolic subgroups
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numbers of orbits
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