Geodesic
Finite groups with restrictions on the Schmidt subgroups
Problemy fiziki, matematiki i tehniki, no. 3 (2020), pp. 78-81.

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Throughout the article, all groups are finite and $G$ always denotes a finite group. A subgroup $H$ of the group $G$ is called $\mathfrak{U}$-normal in $G$ if every chief factor of the group $G$ between $H^G$ and$H_G$ is cyclic. In this article, it is proved that if each Schmidt subgroup of the group $G$ is either subnormal or $\mathfrak{U}$-normal in $G$, then the derived subgroup $G'$ is nilpotent. Some well-known results are generalized.
Keywords: finite group, nilpotent group, subnormal subgroup, $\mathfrak{U}$-normal subgroup, Schmidt group. 
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V. M. Sel'kin; I. V. Blisnets. Finite groups with restrictions on the Schmidt subgroups. Problemy fiziki, matematiki i tehniki, no. 3 (2020), pp. 78-81. http://geodesic.mathdoc.fr/item/PFMT_2020_3_a12/

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