On Weakly Normal Subgroups of a Finite Group

DOI10.1142/S1005386714000479zbMath1301.20022OpenAlexW1965963611MaRDI QIDQ3191858

Yong Xu, Tao Zhao, Xinjian Zhang

Publication date: 25 September 2014

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

Full work available at URL: https://doi.org/10.1142/s1005386714000479

zbMATH Keywords

finite groupsformationsweakly normal subgroups\(\mathcal F\)-hypercentral 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)

Cites Work

• Weakly normal subgroups of finite groups.
• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• On minimal subgroups of finite groups
• Cover-avoidance properties and the structure of finite groups
• Weakly \(s\)-semipermutable subgroups of finite groups.
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• On weakly \(s\)-permutable subgroups of finite groups.

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