Geodesic
Finite groups with $n\Phi$-subgroups of prime orders
Problemy fiziki, matematiki i tehniki, no. 3 (2017), pp. 66-68

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A subgroup $H$ of a group $G$ is called $n\Phi$-subgroup in $G$ if there exists a normal subgroup $K$ of $G$ such that $G=HK$ and $H\cap K\leqslant \Phi(H)$. It has been proved that any formation admits characterization by certain $n\Phi$-subgroups of prime orders.
Keywords: finite group, normal subgroup, Sylow subgroup, $\mathfrak{F}$-coradical, nilpotent group, Abelian group.
Mots-clés : complement 
@article{PFMT_2017_3_a11,
     author = {D. A. Khadanovich},
     title = {Finite groups with  $n\Phi$-subgroups of prime orders},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {66--68},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2017_3_a11/}
}
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D. A. Khadanovich. Finite groups with  $n\Phi$-subgroups of prime orders. Problemy fiziki, matematiki i tehniki, no. 3 (2017), pp. 66-68. http://geodesic.mathdoc.fr/item/PFMT_2017_3_a11/