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- W4298105420 abstract "We prove, for any infinite field k, that any virtually trivial split spherical BN-pair in the group G(k) of k-rational points of a reductive k-group G is already trivial. We then inspect the case when G is k-anisotropic and show that in many situations G(k) admits no non-trivial split spherical BN-pairs. This improves results and contributes to a conjecture of Caprace and Marquis, which can be viewed as a converse to a well-known result of Borel and Tits." @default.
- W4298105420 created "2022-10-01" @default.
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- W4298105420 date "2011-08-24" @default.
- W4298105420 modified "2023-09-29" @default.
- W4298105420 title "Some reductive anisotropic groups that admit no non-trivial split spherical BN-pairs" @default.
- W4298105420 doi "https://doi.org/10.48550/arxiv.1108.4913" @default.
- W4298105420 hasPublicationYear "2011" @default.
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