Products of \(\mathrm{F}^\ast(G)\)-subnormal subgroups of finite groups

DOI10.3103/S1066369X17060093zbMath1381.20021OpenAlexW2616200253MaRDI QIDQ682317

Viachaslau I. Murashka

Publication date: 14 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17060093

zbMATH Keywords

nilpotent groupfinite groupsupersoluble groupproduct of subgroups\(\mathrm{F}^\ast(G)\)-subnormal subgroupquasinilpotent group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items

Formations and products of \(F(G)\)-subnormal subgroups of finite solvable groups ⋮ Products of F∗(G)-subnormal subgroups of finite groups ⋮ New characterizations of \(\sigma\)-nilpotent finite groups ⋮ On products of \(\text{F}^*(G)\)-subnormal subgroups of finite groups

Cites Work

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• Composition formations and radicals of finite groups
• Finite soluble groups
• On finite groups whose principal factors are simple groups
• On groups with abelian Sylow 2-subgroups
• Beiträge zur Theorie der Gruppen endlicher Ordnung
• ON PRODUCTS OF FINITE SUPERSOLUBLE GROUPS

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