Finite groups with subnormal derived subgroups of $B$-groups
Problemy fiziki, matematiki i tehniki, no. 3 (2021), pp. 73-75

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A finite non-nilpotent group $G$ is called $B$-group if every proper subgroup of the quotient group $G /\Phi(G)$ is nilpotent. In this paper, it is established that the metanilpotency of a finite group for which the derived subgroup of each $B$-subgroup is subnormal.
Keywords: finite group, subnormal subgroup, derived subgroup.
Mots-clés : $B$-group
@article{PFMT_2021_3_a9,
     author = {V. N. Kniahina},
     title = {Finite groups with subnormal derived subgroups of $B$-groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {73--75},
     publisher = {mathdoc},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_3_a9/}
}
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V. N. Kniahina. Finite groups with subnormal derived subgroups of $B$-groups. Problemy fiziki, matematiki i tehniki, no. 3 (2021), pp. 73-75. http://geodesic.mathdoc.fr/item/PFMT_2021_3_a9/