Geodesic
On chief factors of parabolic maximal subgroups of the group $B_l(2^n)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 1, pp. 110-115 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, chief factor, strong version of Sims conjecture.
Mots-clés : unipotent radical 
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V. V. Korableva. On chief factors of parabolic maximal subgroups of the group $B_l(2^n)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 1, pp. 110-115. http://geodesic.mathdoc.fr/item/TIMM_2021_27_1_a11/

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