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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 $^2F_4(2^{2n+1})$
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.
Received: 07.11.2019 Revised: 22.11.2019 Accepted: 25.11.2019
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
Linking options:
https://www.mathnet.ru/eng/timm1674 https://www.mathnet.ru/eng/timm/v25/i4/p99
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Abstract page: | 187 | Full-text PDF : | 41 | References: | 37 | First page: | 2 |
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