On complete Hall \(\mathfrak{F}\)-sets of subgroups of finite groups and \(\mathcal{Z}\)-permutability

DOI10.1007/s12215-017-0324-8zbMath1502.20011OpenAlexW2781777469MaRDI QIDQ1632023

T. M. Al-Gafri, Syed Khalid Nauman

Publication date: 12 December 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-017-0324-8

zbMATH Keywords

subnormal subgroupsformations\(\mathcal{Z}\)-permutable subgroupscomplete Hall \(\mathfrak{F}\)-sets of 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) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Cites Work

• Unnamed Item
• \(\mathfrak Z\)-permutable subgroups of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Two sufficient conditions for supersolvability of finite groups
• Finite soluble groups
• On permutable subgroups of finite groups.
• Finite groups with permutable complete Wielandt sets of subgroups.
• \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups.
• On quasinormal subgroups of finite groups
• Structure Theory for Canonical Classes of Finite Groups

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