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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 187–191
(Mi timm1211)
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This article is cited in 1 scientific paper (total 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.
Received: 03.03.2015
Citation:
V. V. Korableva, “On chief factors of parabolic maximal subgroups of the group ${}^3D_4(q^3)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 187–191
Linking options:
https://www.mathnet.ru/eng/timm1211 https://www.mathnet.ru/eng/timm/v21/i3/p187
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Abstract page: | 258 | Full-text PDF : | 62 | References: | 56 | First page: | 3 |
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