Email this article Influence of Mp-supplemented subgroups on the structure of p-modular subgroups
- Authors: Gao B.1, Miao L.2, Tang J.3
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Affiliations:
- School of Mathematics and Statistics
- School of Mathematical Sciences
- Wuxi Institute of Technology
- Issue: Vol 58, No 4 (2017)
- Pages: 606-610
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171296
- DOI: https://doi.org/10.1134/S0037446617040061
- ID: 171296
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Abstract
A subgroup K of G is Mp-supplemented in G if there exists a subgroup B of G such that G = KB and TB < G for every maximal subgroup T of K with |K: T| = pα. We study the structure of the chief factor of G by using Mp-supplemented subgroups and generalize the results of Monakhov and Shnyparkov by involving the relevant results about the p-modular subgroup Op(G) of G.
About the authors
B. Gao
School of Mathematics and Statistics
Email: lmiao@yzu.edu.cn
China, Yining
L. Miao
School of Mathematical Sciences
Author for correspondence.
Email: lmiao@yzu.edu.cn
China, Yangzhou
J. Tang
Wuxi Institute of Technology
Email: lmiao@yzu.edu.cn
China, Wuxi
