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Éléments unipotents des groupes algébriques semi-simples simplement connexes en caractéristique p > 0

✍ Scribed by Philippe Gille


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
415 KB
Volume
328
Category
Article
ISSN
0764-4442

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✦ Synopsis


Thkorie des groupeslGroup Theory Note prCsentCe par Jean-Pierre SERRE. 0764-4442/99/03281123 0 AcadCmie des Sciences/Elsevier, Paris 1123 P. Cille in the unipotent radical of a k-parabolic subgroup of G if and only if each element is k,-embeddable in a Bore1 subgroup. Using moreover Corollary 3.3 of [13], we are reduced to the following case: k = k,, U is generated by an element u of order p, G/k is split and almost simple, G has not type C,. Let us set K = k((t)) and denote by Kmod a maximal tamely ramified closure of K.