Email this article On weakly SΦ-supplemented subgroups of finite groups
- Authors: Wu Z.1, Mao Y.1,2, Guo W.1
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Affiliations:
- School of Mathematical Sciences
- School of Mathematics and Computer
- Issue: Vol 57, No 4 (2016)
- Pages: 696-703
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170621
- DOI: https://doi.org/10.1134/S003744661604011X
- ID: 170621
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Abstract
Let G be a finite group. We say that a subgroup H of G is weakly SΦ-supplemented in G if G has a subgroup T such that G = HT and H∩T ≤ Φ(H)HsG, where HsG is the subgroup of H generated by all those subgroups of H that are s-permutable in G. In this paper, we investigate the influence of weakly SΦ-supplemented subgroups on the structure of finite groups. Some new characterizations of p-nilpotency and supersolubility of finite groups are obtained.
About the authors
Zh. Wu
School of Mathematical Sciences
Email: wbguo@ustc.edu.cn
China, Hefei
Y. Mao
School of Mathematical Sciences; School of Mathematics and Computer
Email: wbguo@ustc.edu.cn
China, Hefei; Datong
W. Guo
School of Mathematical Sciences
Author for correspondence.
Email: wbguo@ustc.edu.cn
China, Hefei
