Can an anisotropic reductive group admit a Tits system? (Q635864)
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| Language | Label | Description | Also known as |
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| English | Can an anisotropic reductive group admit a Tits system? |
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Can an anisotropic reductive group admit a Tits system? (English)
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24 August 2011
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Seeking for a converse to a well-known theorem by Borel-Tits, the authors address the question whether the group \(G(k)\) of rational points of an anisotropic reductive \(k\)-group admits a split spherical BN-pair. They prove that if the field \(k\) is perfect or local, then such a pair must be virtually trivial.
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BN-pairs
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buildings
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anisotropic reductive groups
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compact groups
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