
Journal of Lie Theory 27 (2017), No. 4, 11071118 Copyright Heldermann Verlag 2017 On Construction of the Maximal Parabolic Subgroup P_{1} of E_{6}(K) for Fields K of Characteristic Two Abdullah Alazemi Dept. of Mathematics, Faculty of Science, Kuwait University, Khalediya, Kuwait alazmi@sci.kuniv.edu.kw Mashhour BaniAta Dept. of Mathematics, Faculty of Science, PAAET, Ardiya, Kuwait mashhour_ibrahim@yahoo.com The notion of Msets has been introduced by the second author to give an elementary construction for the Lie algebras of type E_{6} and F_{4} and the Chevalley groups E_{6}(K), F_{4}(K), and ^{2}E_{6}(K) over fields K of characteristic two. The aim of this article is to use the notion of Msets to give an elementary and selfcontained construction of the maximal parabolic subgroup P_{1} of E_{6}(K) using Levi components and unipotent radical root subgroups of E_{6}(K). Keywords: Maximal parabolic, Levi component, unipotent radical, Msets. MSC: 17B25, 17B54, 20G20 [ Fulltextpdf (293 KB)] for subscribers only. 