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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2015 Volume 21, Number 3, Pages 187–191 (Mi timm1211)

This article is cited in 1 paper

On chief factors of parabolic maximal subgroups of the group ${}^3D_4(q^3)$

V. V. Korablevaab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Chelyabinsk State University

Abstract: For a finite simple group of twisted Lie type ${}^3D_4$, the description of chief factors of a parabolic maximal subgroup that lie in its unipotent radical is refined. We prove a theorem, in which, for every parabolic maximal subgroup of the group ${}^3D_4(q^3)$, fragments of chief series that lie in the unipotent radical of this parabolic subgroup are given. Generating elements and orders of the corresponding chief factors are presented in a table.

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

UDC: 512.542.5

Received: 03.03.2015



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