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This article is cited in 1 scientific paper (total in 1 paper)
Finite groups with $p$-nilpotent or $\Phi$-simple maximal subgroups
E. N. Bazhanova, V. A. Vedernikov Moscow City University
Abstract:
Under study is the structure of a finite non-$r$-nilpotent group, with $r\in \{2,3,5\}$, in which any non-$r$-nilpotent maximal subgroup is a $\Phi$-simple group.
Keywords:
maximal subgroup, $pd$-group, $p$-decomposable group, $p$-closed group, $p$-nilpotent group, $p$-solvable group, $\Phi$-simple group, Schmidt group, Frattini subgroup.
Received: 29.03.2021 Revised: 07.09.2021 Accepted: 11.10.2021
Citation:
E. N. Bazhanova, V. A. Vedernikov, “Finite groups with $p$-nilpotent or $\Phi$-simple maximal subgroups”, Sibirsk. Mat. Zh., 63:1 (2022), 23–41; Siberian Math. J., 63:1 (2022), 19–33
Linking options:
https://www.mathnet.ru/eng/smj7639 https://www.mathnet.ru/eng/smj/v63/i1/p23
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