Finite Groups Whose Minimal Subgroups arec-Supplemented

DOI10.1080/00927870701776805zbMath1156.20017OpenAlexW2026072101MaRDI QIDQ3510066

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Publication date: 26 June 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701776805

zbMATH Keywords

finite groupsformationsminimal subgroupsgeneralized Fitting subgroupsupersolubilityc-supplementation

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Products of subgroups of abstract finite groups (20D40)

Related Items (15)

C-normal and hypercyclically embedded subgroups of finite groups ⋮ On solvability of finite groups with some ss-supplemented subgroups ⋮ On \(c\)-supplemented subgroups of finite groups. ⋮ Finite groups with Hall normally embedded subgroups ⋮ Finite groups with weakly ℋC-embedded subgroups ⋮ On weakly \(\mathcal {M}\)-supplemented subgroups and the \(\mathcal {F}\)-hypercentre of finite groups ⋮ A Note on c-Supplemented Subgroups of Finite Groups ⋮ THE INFLUENCE OF MINIMAL SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS ⋮ ON E-SUPPLEMENTED SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS ⋮ Finite groups all of whose minimal subgroups are \(NE^*\)-subgroups. ⋮ Finite groups with some \(\mathcal H\)-subgroups. ⋮ Finite groups with some weakly pronormal subgroups ⋮ A characterization of finite soluble groups ⋮ On Finite Groups with $\mathscr{H}C$-Subgroups ⋮ ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

Cites Work

• Unnamed Item
• On a problem of Skiba from the Kourovka notebook.
• Finite groups whose minimal subgroups are normal
• Zwei Klassen von Formationen endlicher auflösbarer Gruppen, deren Halbverband gesättigter Unterformationen genau ein maximales Element besitzt. (Two classes of formations of finite solvable groups the semilattice of saturated subformations of which has exactly one maximal element)
• A generalisation of Kramer's theorem and its applications
• C-Supplemented subgroups of finite groups
• On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups
• Endliche Gruppen I
• On the Automorphism Group of A 2-Group

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