Geodesic
On $P$-property of subgroups of finite groups
Problemy fiziki, matematiki i tehniki, no. 3 (2014), pp. 47-52

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Let $H$ be a subgroup of a group $G$. We say that $H$ has $P$-property in $G$ if $|G/K:N_{G/K}(HK/K\cap L/K)|$ is a $p$-number for any $pd$-chief factor $L/K$ of $G$. Using this property of subgroups, some new criterions of $p$-nilpotency of groups are obtained.
Keywords: finite group, $p$-nilpotent group, $P$-property of subgroup. 
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     author = {Baojun Li and Aming Liu},
     title = {On $P$-property of subgroups of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {47--52},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_3_a8/}
}
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Baojun Li; Aming Liu. On $P$-property of subgroups of finite groups. Problemy fiziki, matematiki i tehniki, no. 3 (2014), pp. 47-52. http://geodesic.mathdoc.fr/item/PFMT_2014_3_a8/