Gille, Philippe and Quéguiner-Mathieu Anne: Exemples de groupes semi-simples simplement connexes anisotropes contenant un sous-groupe unipotent.

Submission: 2012, Sep 12

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).

2010 Mathematics Subject Classification: 11E72, 20G05

Keywords and Phrases: Galois cohomology, linear algebraic groups

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