ON CONJUGATE-ℨ-PERMUTABLE SUBGROUPS OF FINITE GROUPS

DOI10.1142/S0219498813500606zbMath1288.20014MaRDI QIDQ2847708

A. A. Heliel, T. M. Al-Gafri

Publication date: 11 September 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupssaturated formations\(p\)-nilpotent groupscomplete sets of Sylow subgroupssubgroup embedding propertiessupersoluble groupsgeneralised Fitting subgroupconjugate-permutable subgroups\(\mathfrak Z\)-permutable subgroups\(C\)-\(\mathfrak Z\)-permutable 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) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

\(\mathfrak Z\)-permutable subgroups of finite groups. ⋮ On \(C\)-\({\mathcal{H}} \)-permutable subgroups of finite groups ⋮ On two classes of finite supersoluble groups ⋮ Unnamed Item

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Two sufficient conditions for supersolvability of finite groups
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• On permutable subgroups of finite groups.
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups.
• On maximal subgroups of Sylow subgroups of inite groups
• Onc-Normal Maximal and Minimal Subgroups of Sylow Subgroups of Finite Groups. II
• Endliche Gruppen I
• On Permutable Subgroups of Finite Groups II

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