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Keywords:
finite group; $p$-nilpotent group; primary subgroups; complemented subgroups
finite group; $p$-nilpotent group; primary subgroups; complemented subgroups
Summary:
A subgroup $H$ of a group $G$ is said to be complemented in $G$ if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K=1$. In this paper we determine the structure of finite groups with some complemented primary subgroups, and obtain some new results about $p$-nilpotent groups.
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