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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
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.
Received: 05.10.2020 Revised: 21.12.2020 Accepted: 11.01.2021
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
Linking options:
https://www.mathnet.ru/eng/timm1796 https://www.mathnet.ru/eng/timm/v27/i1/p110
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