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On Unipotent Radicals of Pseudo-Reductive Groups

On Unipotent Radicals of Pseudo-Reductive Groups

We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups.In particular, our main theorem gives bounds on the nilpotency class of geometric unipotent radicals of standard pseudo-reductive groups, which are sharp in many cases.A major part of the proof rests upon consideration of the following …