Geodesic
Nilpotency of the derived subgroup of a finite group with semisubnormal Schmidt subgroups
Problemy fiziki, matematiki i tehniki, no. 3 (2022), pp. 86-89

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A non-nilpotent finite group all of whose proper subgroups are nilpotent is called a Schmidt group. A subgroup $A$ is called seminormal in a group $G$ if there exists a subgroup $B$ such that $G=AB$ and $AB_1$ is a proper subgroup of $G$ for each proper subgroup $B_1$ of $B$. If $A$ is either subnormal in $G$ or seminormal in $G$, then the subgroup $A$ is called semisubnormal in $G$. We establish the nilpotency of the derived subgroup of a group all of whose Schmidt subgroups are semisubnormal.
Keywords: finite group, Schmidt subgroup, seminormal subgroup, subnormal subgroup. 
@article{PFMT_2022_3_a14,
     author = {V. N. Kniahina},
     title = {Nilpotency of the derived subgroup of a finite group with semisubnormal {Schmidt} subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {86--89},
     publisher = {mathdoc},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_3_a14/}
}
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V. N. Kniahina. Nilpotency of the derived subgroup of a finite group with semisubnormal Schmidt subgroups. Problemy fiziki, matematiki i tehniki, no. 3 (2022), pp. 86-89. http://geodesic.mathdoc.fr/item/PFMT_2022_3_a14/