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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2019 Volume 25, Number 4, Pages 99–106 (Mi timm1674)

This article is cited 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

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.

UDC: 512.542.5

MSC: 20D06, 20G41, 17B22

Received: 07.11.2019
Revised: 22.11.2019
Accepted: 25.11.2019

DOI: 10.21538/0134-4889-2019-25-4-99-106


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2021, 313, suppl. 1, S133–S139

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