\(\mathfrak Z\)-permutable subgroups of finite groups.

DOI10.1007/S00605-015-0756-1zbMath1342.20023OpenAlexW1977373063MaRDI QIDQ264053

A. A. Heliel, M. O. Almestady, Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 5 April 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0756-1

zbMATH Keywords

soluble groupsSylow basesfinite groupssubnormal subgroupspermutable subgroupscomplete sets of Sylow subgroups

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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

On complete Hall \(\mathfrak{F}\)-sets of subgroups of finite groups and \(\mathcal{Z}\)-permutability ⋮ On some results in the theory of finite partially soluble groups ⋮ A Higher Version of Zappa Products for Monoids ⋮ On two classes of finite supersoluble groups ⋮ Actions on p-groups with the kernel containing the 𝔉-residuals ⋮ On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.

Cites Work

• Products of finite groups.
• A remark on the reduction of Hall subgroups in finite soluble groups
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups. II.
• On minimal non-supersoluble groups.
• Finite soluble groups
• On permutable subgroups of finite groups.
• On \(\mathfrak Z\)-permutability of minimal subgroups of finite groups.
• A remark on \(\mathfrak Z\)-permutability of finite groups.
• \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups.
• On quasinormal subgroups of finite groups
• ON CONJUGATE-ℨ-PERMUTABLE SUBGROUPS OF FINITE GROUPS
• Theorems of Sylow type
• FINITE GROUPS WITH SOME ℨ-PERMUTABLE SUBGROUPS
• Endliche Gruppen I
• On Permutable Subgroups of Finite Groups II

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