Lookup NU author(s): Dr David Stewart
This is the authors' accepted manuscript of an article that has been accepted and is due to be published in its final definitive form by Department of Mathematics, University of Michigan, 2018.
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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 situation: let k' be a purely inseparable field extension of k of degree p^e and let G denote the Weil restriction of scalars R_{k'/k}(G') of a reductive k'-group G'. When G= \R_{k'/k}(G') we also provide some results on the orders of elements of the unipotent radical \RR_u(G_{\bar k}) of the extension of scalars of G to the algebraic closure \bar k of k.
Author(s): Bate M, Martin BMS, Roehrle G, Stewart DI
Publication type: Article
Publication status: In Press
Journal: Michigan Mathematical Journal
Year: 2018
Acceptance date: 06/09/2018
Date deposited: 10/09/2018
ISSN (print): 0026-2285
ISSN (electronic): 1945-2365
Publisher: Department of Mathematics, University of Michigan
