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MATHEMATICS
Finite groups with subnormal derived subgroups of $B$-groups
V. N. Kniahina Francisk Skorina Gomel State University
Abstract:
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, $B$-group, subnormal subgroup, derived subgroup.
Received: 01.07.2021
Citation:
V. N. Kniahina, “Finite groups with subnormal derived subgroups of $B$-groups”, PFMT, 2021, no. 3(48), 73–75
Linking options:
https://www.mathnet.ru/eng/pfmt797 https://www.mathnet.ru/eng/pfmt/y2021/i3/p73
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Statistics & downloads: |
Abstract page: | 129 | Full-text PDF : | 52 | References: | 33 |
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