Finite groups with systems of \(\Sigma\)-embedded subgroups.

DOI10.1007/S11425-011-4270-1zbMath1255.20018OpenAlexW2271734575MaRDI QIDQ763682

Alexander N. Skiba, Wen-Bin Guo

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4270-1

zbMATH Keywords

soluble groupsfinite groupssaturated formationschief factors\(p\)-nilpotent groupssupersoluble groupscover-avoiding property\(\Sigma\)-embedded subgroups\(m\)-embedded subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items (7)

On \(m\)-embedded primary subgroups of finite groups ⋮ \(\mathfrak{F}_{\tau}\)-embedded and \(\mathfrak{F}_{\tau\phi}\)-embedded subgroups of finite groups ⋮ On P_𝔉-Supplemented subgroups of finite groups ⋮ Finite groups with systems of \(\Sigma\)-\( \mathfrak{F} \)-embedded subgroups ⋮ On generalized \(\mathfrak U\)-hypercentral subgroups of a finite group. ⋮ Nearly m-embedded subgroups and solvability of finite groups ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups.

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