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

DOI10.1016/j.jalgebra.2013.06.037zbMath1312.20015OpenAlexW2039475073MaRDI QIDQ2438369

Ning Su, Yan Ming Wang

Publication date: 11 March 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.06.037

zbMATH Keywords

critical groupsfinite soluble groupssaturated formationschief factorsresidualssubgroup-closed formationsintersections of normalisers

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items

On the normalizers of p-nilpotency-residuals of all subgroups in a finite group ⋮ On PN-groups and the norm of minimal subgroups ⋮ Unnamed Item ⋮ ON THEσ-NILPOTENT NORM AND THEσ-NILPOTENT LENGTH OF A FINITE GROUP ⋮ On the generalized norms of a group ⋮ On the generalized norm of a finite group ⋮ On the \(\mathcal{F}^*\)-norm of a finite group ⋮ On Generalized Norms of Finite Groups ⋮ On the \(\mathfrak{F} \)-norm of a finite group ⋮ Derived norms of finite groups ⋮ On the Nσ*-norm and Dp*-norm of finite groups

Cites Work

• Unnamed Item
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• On the \(\mathcal F\)-hypercentre and the intersection of all \(\mathcal F\)-maximal subgroups of a finite group.
• On the norm of the nilpotent residuals of all subgroups of a finite group.
• Finite \(p\)-central groups of height \(k\).
• A note on intersections of maximal \(\mathcal F\)-subgroups.
• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• A criterion for the existence of normal \(\pi\) -complements in finite groups
• On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.
• Finite soluble groups
• Finite solvable groups whose \(\mathfrak F\)-hypercenter contains all minimal subgroups. II
• On minimal subgroups of finite groups
• On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group.
• On \(\mathcal F\Phi^*\)-hypercentral subgroups of finite groups.
• Minimal nicht überauflösbare, endliche Gruppen
• Finite Groups with Prescribed Sylow Tower Subgroups
• A Note on Formations of Finite Nilpotent Groups
• Endliche Gruppen I