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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, Volume 27, Number 1, Pages 110–115
DOI: https://doi.org/10.21538/0134-4889-2021-27-1-110-115
(Mi timm1796)
 

On chief factors of parabolic maximal subgroups of the group $B_l(2^n)$

V. V. Korablevaab

a Chelyabinsk State University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
References:
Abstract: This study continues the author's previous papers, where a refined description of the chief factors of a parabolic maximal subgroup involved in its unipotent radical was obtained for all (normal and twisted) finite simple groups of Lie type except for the group $B_l(2^n)$. In present paper, such a description is given the group $B_l(2^n)$. For every parabolic maximal subgroup of $B_l(2^n)$, a fragment of its chief series involved in the unipotent radical of this parabolic subgroup is given. Generators of the corresponding chief factors are presented in a table.
Keywords: finite simple group, group of Lie type, parabolic maximal subgroup, unipotent radical, chief factor, strong version of Sims conjecture.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00456
This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00456).
Received: 05.10.2020
Revised: 21.12.2020
Accepted: 11.01.2021
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 $B_l(2^n)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 1, 2021, 110–115
Citation in format AMSBIB
\Bibitem{Kor21}
\by V.~V.~Korableva
\paper On chief factors of parabolic maximal subgroups of the group $B_l(2^n)$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2021
\vol 27
\issue 1
\pages 110--115
\mathnet{http://mi.mathnet.ru/timm1796}
\crossref{https://doi.org/10.21538/0134-4889-2021-27-1-110-115}
\elib{https://elibrary.ru/item.asp?id=44827399}
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