On chief factors of parabolic maximal subgroups of the group 2F4(22n+1)

被引:1
|
作者
Korableva, V. V. [1 ,2 ]
机构
[1] Chelyabinsk State Univ, Chelyabinsk 45400, Russia
[2] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg 620108, Russia
来源
关键词
finite simple group; group of Lie type; parabolic maximal subgroup; chief factor; unipotent radical; strong version of the Sims conjecture; FINITE SIMPLE-GROUPS;
D O I
10.21538/0134-4889-2019-25-4-99-106
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 contained in its unipotent radical was obtained for all (normal and twisted) finite simple groups of Lie type except for the groups F-2(4)(2(2n+1)) and B-l(2(n)). In present paper, such a description is given the group F-2(4)(2(2n+1)). We prove a theorem in which, for every parabolic maximal subgroup of F-2(4)((22n+ 1)), a fragment of the chief series contained in the unipotent radical of this subgroup is given. Generators of the corresponding chief factors are presented in a table.
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页码:99 / 106
页数:8
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