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.

K K
Publié le :
DOI : 10.4171/RSMUP/7
Classification : ,
Mots clés : $K$K
Gille, Philippe 1

1 Université Claude Bernard Lyon 1, Villeurbanne, France 
@article{RSMUP_2018__140__173_0,
     author = {Gille, Philippe},
     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://archive.numdam.org/articles/10.4171/RSMUP/7/}
}
TY  - JOUR
AU  - Gille, Philippe
TI  - Semisimple groups that are quasi-split over a tamely ramified extension
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2018
SP  - 173
EP  - 183
VL  - 140
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/7/
DO  - 10.4171/RSMUP/7
ID  - RSMUP_2018__140__173_0
ER  - 
%0 Journal Article
%A Gille, Philippe
%T Semisimple groups that are quasi-split over a tamely ramified extension
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2018
%P 173-183
%V 140
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/7/
%R 10.4171/RSMUP/7
%F RSMUP_2018__140__173_0
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://archive.numdam.org/articles/10.4171/RSMUP/7/

Cité par Sources :