Semisimple groups that are quasi-split over a tamely ramified extension
Gille, Philippe1
1 Université Claude Bernard Lyon 1, Villeurbanne, France
Rendiconti del Seminario Matematico della Università di Padova, Tome 140 (2018), pp. 173-183.

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.

DOI : 10.4171/RSMUP/7
Classification : 20G10, 20G25
Mots-clés : Linear algebraic groups, Galois cohomology, Bruhat–Tits theory
Gille, Philippe 1

1 Université Claude Bernard Lyon 1, Villeurbanne, France 
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     title = {Semisimple groups that are quasi-split over a tamely ramified extension},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {173--183},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {140},
     year = {2018},
     doi = {10.4171/RSMUP/7},
     mrnumber = {3880216},
     zbl = {1472.20103},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/7/}
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Gille, Philippe. Semisimple groups that are quasi-split over a tamely ramified extension. Rendiconti del Seminario Matematico della Università di Padova, Tome 140 (2018), pp. 173-183. doi : 10.4171/RSMUP/7. http://www.numdam.org/articles/10.4171/RSMUP/7/

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