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dc.contributor.authorBate, Michael
dc.contributor.authorMartin, Benjamin
dc.contributor.authorRöhrle, Gerhard
dc.contributor.authorStewart, David I.
dc.date.accessioned2017-07-20T11:35:02Z
dc.date.available2017-07-20T11:35:02Z
dc.date.issued2017-04-27
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1292
dc.descriptionMSC: 20G15en_US
dc.descriptionResearch in Pairs 2015en_US
dc.description.abstractWe establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, let $k'$ be a purely inseparable field extension of k of degree $p^e$ and let $G$ denote the Weil restriction of scalars $\mathrm{R}_{k'/k}(G')$ of a reductive $k'$-group $G'$. We prove that the unipotent radical $\mathscr{R}_u(G_{\bar k})$ of the extension of scalars of $G$ to the algebraic closure $\bar k$ of $k$ has exponent $e$. Our main theorem is to give bounds on the nilpotency class of geometric unipotent radicals of standard pseudo-reductive groups, which are sharp in many cases.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2017,12
dc.titleOn Unipotent Radicals of Pseudo-Reductive Groupsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2017-12
local.scientificprogramResearch in Pairs 2015en_US
local.series.idOWP-2017-12
local.subject.msc20
dc.identifier.urnurn:nbn:de:101:1-201705102186
dc.identifier.ppn1658017137


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