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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