Geodesic
On complemented subgroups of finite groups
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 1019-1028
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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.
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.
Classification : 20D10, 20D15, 20D20, 20D40
Keywords: finite group; $p$-nilpotent group; primary subgroups; complemented subgroups 
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}
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Miao, Long. On complemented subgroups of finite groups. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 1019-1028. http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a20/

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