当前位置: X-MOL 学术Proc. Steklov Inst. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On Chief Factors of Parabolic Maximal Subgroups of the Group $${}^{2}F_{4}(2^{2n+1})$$ superscript subscript 𝐹 4 2 superscript 2 2 𝑛 1
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-07-26 , DOI: 10.1134/s0081543821030147
V. V. Korableva 1, 2
Affiliation  

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 \({}^{2}F_{4}(2^{2n+1})\) and \(B_{l}(2^{n})\). In present paper, such a description is given for the group \({}^{2}F_{4}(2^{2n+1})\). We prove a theorem in which, for every parabolic maximal subgroup of \({}^{2}F_{4}(2^{2n+1})\), 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.



中文翻译:

关于群的抛物线极大子群的主要因子 $${}^{2}F_{4}(2^{2n+1})$$ 上标 下标 𝐹 4 2 上标 2 2 𝑛 1

本研究继续作者之前的论文,其中除了群\({}^{ 2}F_{4}(2^{2n+1})\)\(B_{l}(2^{n})\)。在本文中,对群\({}^{2}F_{4}(2^{2n+1})\)给出了这样的描述 。我们证明了一个定理,其中,对于\({}^{2}F_{4}(2^{2n+1})\) 的每个抛物线极大子群 ,有一个主级数的片段,该片段包含在这个单能根中给出了子群。表中列出了相应主要因素的生成器。

更新日期:2021-07-26
down
wechat
bug