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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 3D4(q3)
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 3D4, 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 3D4(q3), 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 3D4(q3)”, 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: | 286 | Full-text PDF : | 70 | References: | 61 | First page: | 3 |
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