Semisimple groups that are quasi-split over a tamely ramified extension

  • Philippe Gille

    Université Claude Bernard Lyon 1, Villeurbanne, France

Abstract

Let be a discretly henselian field whose residue field is separably closed. Answering a question raised by G. Prasad, we show that a semisimple -group is quasi-split if and only if it quasi–splits after a finite tamely ramified extension of .

Cite this article

Philippe Gille, Semisimple groups that are quasi-split over a tamely ramified extension. Rend. Sem. Mat. Univ. Padova 140 (2018), pp. 173–183

DOI 10.4171/RSMUP/7