Formations and products of \(F(G)\)-subnormal subgroups of finite solvable groups

DOI10.1134/S0001434620030050zbMath1484.20023OpenAlexW3020481667MaRDI QIDQ2191983

Viachaslau I. Murashka, A. F. Vasil'ev

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620030050

zbMATH Keywords

nilpotent groupfinite groupsolvable groupsaturated formationFitting subgroupsupersolvable groupFitting formation

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

Finite groups with three nonconjugate maximal formational subgroups ⋮ On questions posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in finite group theory ⋮ Products of F∗(G)-subnormal subgroups of finite groups ⋮ On finite factorized groups with \({\mathbb{T}}X\)-subnormal subgroups ⋮ New characterizations of \(\sigma\)-nilpotent finite groups ⋮ Unnamed Item ⋮ On products of \(\text{F}^*(G)\)-subnormal subgroups of finite groups

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