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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 187–191 (Mi timm1211)  

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
Full-text PDF (160 kB) Citations (1)
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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
Bibliographic databases:
Document Type: Article
UDC: 512.542.5
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Kor15}
\by V.~V.~Korableva
\paper On chief factors of parabolic maximal subgroups of the group ${}^3D_4(q^3)$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 187--191
\mathnet{http://mi.mathnet.ru/timm1211}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468102}
\elib{https://elibrary.ru/item.asp?id=24156716}
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  • https://www.mathnet.ru/eng/timm/v21/i3/p187
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:258
    Full-text PDF :62
    References:56
    First page:3
     
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