Czechoslovak Mathematical Journal, first online, pp. 1-5
On weakly-supplemented subgroups and the solvability of finite groups
Received June 16, 2017. Published online April 13, 2018.
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 this paper, some interesting results with weakly-supplemented minimal subgroups or Sylow subgroups of $G$ are obtained.
Keywords: weakly-supplemented subgroup; complemented subgroup; solvable group
Affiliations: Qiang Zhou, School of Automation, Southeast University, Nanjing 210096, P. R. China and College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, P. R. China, e-mail: firstname.lastname@example.org