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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2021 Volume 110, Issue 3, Pages 358–367 (Mi mzm13063)

This article is cited in 8 papers

Three Formations over $\mathfrak U$

V. S. Monakhov

Gomel State University named after Francisk Skorina

Abstract: Three classes of finite groups are investigated in which all metanilpotent subgroups, all subgroups with nilpotent derived subgroup, or all Schmidt subgroups are supersolvable.

Keywords: finite group, formation, supersolvable group, Schmidt group, $\mathbb P$-subnormal subgroup.

UDC: 517.542

Received: 04.03.2021
Revised: 16.04.2021

DOI: 10.4213/mzm13063


 English version:
Mathematical Notes, 2021, 110:3, 339–346

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© Steklov Math. Inst. of RAS, 2025