E. N. Bazhanova, V. A. Vedernikov, “Finite groups with $p$-nilpotent or $\Phi$-simple maximal subgroups”, Sibirsk. Mat. Zh., 2022, Volume 63, Number 1,Pages 23

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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.

UDC: 512.542

Received: 29.03.2021
Revised: 07.09.2021
Accepted: 11.10.2021

DOI: 10.33048/smzh.2022.63.102