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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2019, Volume 25, Number 4, Pages 99–106
DOI: https://doi.org/10.21538/0134-4889-2019-25-4-99-106
(Mi timm1674)
 

This article is cited in 1 scientific paper (total in 1 paper)

On Chief Factors of Parabolic Maximal Subgroups of the Group $^2F_4(2^{2n+1})$

V. V. Korablevaab

a Chelyabinsk State University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (186 kB) Citations (1)
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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 groups $^2F_4(2^{2n+1})$ and $B_l(2^n)$. In present paper, such a description is given for the group $^2F_4(2^{2n+1})$. We prove a theorem in which, for every parabolic maximal subgroup of $^2F_4(2^{2n+1})$, a fragment of the chief series involved in the unipotent radical of this 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, chief factor, unipotent radical, strong version of the Sims conjecture.
Received: 07.11.2019
Revised: 22.11.2019
Accepted: 25.11.2019
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2021, Volume 313, Issue 1, Pages S133–S139
DOI: https://doi.org/10.1134/S0081543821030147
Bibliographic databases:
Document Type: Article
UDC: 512.542.5
MSC: 20D06, 20G41, 17B22
Language: Russian
Citation: V. V. Korableva, “On Chief Factors of Parabolic Maximal Subgroups of the Group $^2F_4(2^{2n+1})$”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 4, 2019, 99–106; Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), S133–S139
Citation in format AMSBIB
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\by V.~V.~Korableva
\paper On Chief Factors of Parabolic Maximal Subgroups of the Group $^2F_4(2^{2n+1})$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2019
\vol 25
\issue 4
\pages 99--106
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\crossref{https://doi.org/10.21538/0134-4889-2019-25-4-99-106}
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2021
\vol 313
\issue , suppl. 1
\pages S133--S139
\crossref{https://doi.org/10.1134/S0081543821030147}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85078535478}
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