Unipotent elements of semisimple simply connected algebraic groups in characteristic p > 0

Authors
Gille, P
Citation
P. Gille, Unipotent elements of semisimple simply connected algebraic groups in characteristic p > 0, CR AC S I, 328(12), 1999, pp. 1123-1128
Citations number
14
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
12
Year of publication
1999
Pages
1123 - 1128
Database
ISI
SICI code
0764-4442(19990615)328:12<1123:UEOSSC>2.0.ZU;2-0
Abstract
Let k be a field with positive characteristic p > 0 and let G/k be a simply connected semisimple group. We prove the following conjecture of Tits. If [k : k(p)] less than or equal to p, then any subgroup U of G(k) consisting of unipotent elements is contained in the unipotent radical of a k-paraboli c subgroup of G. (C) Academie des Sciences/Elsevier, Paris.