Czechoslovak Mathematical Journal, Vol. 68, No. 4, pp. 1051-1054, 2018
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
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