Weakly s-supplemented subgroups and p-nilpotency of finite groups

Shouhong Qiao

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Weakly s-supplemented subgroups and p-nilpotency of finite groups

机译：弱s-补充子群与有限群的p-幂零

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A subgroup H of a group G is said to be weakly s-supplemented in G if there is a subgroup T of G such that G = HT and H ∩ T ≤ H sG , where H sG is the maximal s-permutable subgroup of G contained in H. In this paper, we investigate the influence of weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized.

机译：如果存在G的子组T使得G = HT并且H∩T≤H sG，则G组的子组H据说在G中弱s补充，其中H sG是G的最大s置换子组。在本文中，我们研究了弱s补充子群对有限群结构的影响。概括了一些最近的结果。

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《Indian Journal of Pure and Applied Mathematics》 |2013年第6期|795-808|共14页
作者
Shouhong Qiao;
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School of Applied Math. Guangdong University of Technology">(1);

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1. Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups [J] . Changwen LI Bulletin of the Polish Academy of Sciences. Mathematics . 2011,第1期

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2. The influence of weakly s-supplemented subgroups on the structure of finite groups (vol 42, pg 2319, 2014) [J] . Communications in algebra . 2020,第5a6期

机译：弱型亚群对有限群结构的影响（Vol 42，PG 2319,2014）
3. The Weakly s-Supplemented Property of Subgroups of Finite Groups [J] . SU Ning, LI Yangming, WANG Yanming Chinese journal of contemporary mathematics . 2015,第1期

机译：有限群子群的弱s-补充性质
4. Influence of Z-permutable of Maximal Subgroups of Sylow Subgroups of Finite Groups [C] . Xu Yong, Wu Dan, Zhang Xinjian 2012 Fifth International Joint Conference on Computational Sciences and Optimization . 2012

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5. On Finitely Generated Nilpotent Groups and Their Subgroups [D] . Sandor, Bryan. 2017

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6. Molecular genetic analysis of weak ABO subgroups in the Chinese population reveals ten novel ABO subgroup alleles [O] . Haobo Huang, Sha Jin, Xi Liu, 2019

机译：中国人群中弱ABO亚群的分子遗传分析揭示了十个新的ABO亚群等位基因
7. Corrigendum to: The influence of weakly s-supplemented subgroups on the structure of finite groups [O] . Mohamed Asaad 2020

机译：勘犯：弱型亚群对有限群结构的影响
8. Use of the Fluorescent Antibody Technique (FAT) for Identifying Weak Subgroups of Red Blood Cells. [R] . poskitt,thomas r. roberts,stanley c. 1973

机译：使用荧光抗体技术（FaT）识别红细胞弱亚组。

Weakly s-supplemented subgroups and p-nilpotency of finite groups

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