On chief factors of parabolic maximal subgroups of the group Bt(2n)

被引:0
|
作者
Korableva, V. V. [1 ,2 ]
机构
[1] Chelyabinsk State Univ, Chelyabinsk 454000, Russia
[2] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg 620108, Russia
来源
基金
俄罗斯基础研究基金会;
关键词
finite simple group; group of Lie type; parabolic maximal subgroup; unipotent radical; chief factor; strong version of Sims conjecture;
D O I
10.21538/0134-4889-2021-27-1-110-115
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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-t(2(n)). In present paper, such a description is given the group B-t(2(n)). For every parabolic maximal subgroup of B-t(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.
引用
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页码:110 / 115
页数:6
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