Pure and Applied Mathematics Quarterly

Volume 9 (2013)

Number 3

Exemples de groupes semi-simples simplement connexes anisotropes contenant un sous-groupe unipotent

Pages: 487 – 492

DOI: http://dx.doi.org/10.4310/PAMQ.2013.v9.n3.a5

Authors

Philippe Gille (UMR 8552 du CNRS, DMA, Ecole Normale Supérieure, Paris)

Anne Quéguiner-Mathieu (Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS (UMR 7539), Villetaneuse, France)

Abstract

We show that there are anisotropic groups of type $G_2$ (resp. $F_4$, $E_8$) containing a non-trivial smooth unipotent subgroup over a suitable field of characteristic 2 (resp. 3, 5).

Keywords

Galois cohomology, linear algebraic groups

2010 Mathematics Subject Classification

11E72, 20G05

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