Toric-friendly groups. (Q655993)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Toric-friendly groups. |
scientific article |
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Toric-friendly groups. (English)
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26 January 2012
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A connected linear algebraic group \(G\) over a field \(k\) is toric-friendly if for any field extension \(K/k\) and any maximal \(K\)-torus \(T\) in \(G\) the group \(G(K)\) acts transitively on \((G/T)(K)\). The main result is a classification of semisimple (and under certain assumptions on \(k\), of connected) toric-friendly groups.
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toric-friendly groups
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linear algebraic groups
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semisimple groups
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maximal tori
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rational points
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elementary obstructions
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