Semi-simple groups that are quasi-split over a tamely-ramified extension

Philippe Gille 1
1 AGL - Algèbre, géométrie, logique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : Let K be a discretly henselian field whose residue field is separably closed. Answering a question raised by G. Prasad, we show that a semisimple K– group G is quasi-split if and only if it quasi–splits after a finite tamely ramified extension of K.
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Philippe Gille. Semi-simple groups that are quasi-split over a tamely-ramified extension. Rendiconti del Seminario Matematico della Università di Padova, 2018, 140, pp.173-183. ⟨10.4171/RSMUP/7⟩. ⟨hal-01558507⟩

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