Geodesic
On finite groups with Hall normally embedded Schmidt subgroups
Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 90-96

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A subgroup $H$ of a finite group $G$ is said to be Hall normally embedded in $G$ if there is a normal subgroup $N$ of $G$ such that $H$ is a Hall subgroup of $N$. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group $G$ is Hall normally embedded in $G$, then the derived subgroup of $G$ is nilpotent.
Keywords: finite group, Hall subgroup, normal subgroup, derived subgroup, nilpotent subgroup. 
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     author = {Viktoryia N. Knyahina and Victor S. Monakhov},
     title = {On finite groups with {Hall} normally embedded {Schmidt} subgroups},
     journal = {Algebra and discrete mathematics},
     pages = {90--96},
     publisher = {mathdoc},
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     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2018_26_1_a8/}
}
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Viktoryia N. Knyahina; Victor S. Monakhov. On finite groups with Hall normally embedded Schmidt subgroups. Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 90-96. http://geodesic.mathdoc.fr/item/ADM_2018_26_1_a8/