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Lookup NU author(s): Dr David StewartORCiD
This is the authors' accepted manuscript of an article that has been published in its final definitive form by Department of Mathematics, University of Michigan, 2019.
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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: Published
Journal: Michigan Mathematical Journal
Year: 2019
Volume: 68
Issue: 2
Pages: 277-299
Print publication date: 01/06/2019
Online publication date: 18/02/2019
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
URL: https://doi.org/10.1307/mmj/1550480563
DOI: 10.1307/mmj/1550480563
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