Czechoslovak Mathematical Journal, first online, pp. 1-4


A note on weakly-supplemented subgroups of finite groups

Hong Pan

Received February 17, 2017.   First published December 8, 2017.

Abstract:  A subgroup $H$ of a finite group $G$ is weakly-supplemented in $G$ if there exists a proper subgroup $K$ of $G$ such that $G=HK$. In the paper, we extend one main result of Kong and Liu (2014).
Keywords:  weakly-supplemented subgroup; $p$-nilpotent group; supersolvable group
Classification MSC:  20D10, 20D20
DOI:  10.21136/CMJ.2017.0067-17

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References:
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Affiliations:   Hong Pan, College of Mathematics and Statistics, Xinyang Normal University, No. 237 Nanhu Road, Xinyang 464000, Shihe, Henan, People's Republic of China, e-mail: fz1105678@163.com


 
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