On the intersection of the normalizers of the \(\mathcal F\)-residuals of subgroups of a finite group.

DOI10.1007/s10468-013-9407-1zbMath1308.20016OpenAlexW2056459676MaRDI QIDQ2015194

Ning Su, Yan Ming Wang

Publication date: 23 June 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-013-9407-1

zbMATH Keywords

finite groupsformations\(p\)-nilpotent groupshypercenternilpotent residualsintersections of normalizers

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group. ⋮ On PN-groups and the norm of minimal subgroups ⋮ Unnamed Item ⋮ On the generalized norm of a finite group ⋮ ON THE -LENGTH AND THE WIELANDT SERIES OF A FINITE -SOLUBLE GROUP ⋮ On the generalized norms of finite groups ⋮ Derived norms of finite groups

Cites Work

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• Über den Normalisator der subnormalen Untergruppen
• On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.
• Finite soluble groups
• On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group.
• Centre and norm
• On the Intersection of the Normalizers of the Nilpotent Residuals of All Subgroups of a Finite Group
• Classes of Finite Groups
• Endliche Gruppen I

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