This article is cited in 2 papers

On the chief factors of maximal parabolic subgroups of twisted classical groups

V. V. Korableva<sup>ab

a</sup> Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
^b Chelyabinsk State University, Chelyabinsk, Russia

Abstract: For the finite simple groups of twisted Lie types $^2A_l$ and $^2D_l$, we specify the description for the chief factors of a maximal parabolic subgroup which are involved in its unipotent radical. We prove a theorem in which, for every maximal parabolic subgroup of the groups $^2A_l(q^2)$ and $^2D_l(q^2)$ , we give the fragments of the chief series involving in the unipotent radical of this parabolic subgroup. The generators of the corresponding chief factors are presented in tables.

Keywords: finite group of Lie type, parabolic subgroup, chief factor, unipotent radical.

UDC: 512.542.5

Received: 08.01.2015

DOI: 10.17377/smzh.2015.56.510

 English version: Siberian Mathematical Journal, 2015, 56:5, 879–887

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