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This article is cited in 2 scientific papers (total in 2 papers)
On the chief factors of maximal parabolic subgroups of twisted classical groups
V. V. Korablevaab a 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.
Received: 08.01.2015
Citation:
V. V. Korableva, “On the chief factors of maximal parabolic subgroups of twisted classical groups”, Sibirsk. Mat. Zh., 56:5 (2015), 1100–1110; Siberian Math. J., 56:5 (2015), 879–887
Linking options:
https://www.mathnet.ru/eng/smj2700 https://www.mathnet.ru/eng/smj/v56/i5/p1100
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