On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.

DOI10.1016/J.JALGEBRA.2009.12.015zbMath1195.20019OpenAlexW2087225406MaRDI QIDQ965156

Zhencai Shen, Shi-Rong Li

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.12.015

zbMATH Keywords

finite groupssupersolvable groupsFitting lengthsderived subgroupnorm of groupshypernorm of groups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (23)

On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group ⋮ Unnamed Item ⋮ On normalizers of the nilpotent residuals of subgroups of a finite group ⋮ On the nilpotent residual norm of a group and the structure of \(S\)-groups ⋮ On the normalizers of p-nilpotency-residuals of all subgroups in a finite group ⋮ On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group. ⋮ A note on the generalized hypercenter of a finite group ⋮ Derived subalgebra and solvability of finite dimensional Lie algebra ⋮ On the norm of the nilpotent residuals of all subgroups of a finite group. ⋮ On the normalizers of \(\mathcal F\)-residuals of all subgroups of a finite group. ⋮ Unnamed Item ⋮ A note on intersections of maximal \(\mathcal F\)-subgroups. ⋮ The norm of p-decomposable residuals of all subgroups in a finite group ⋮ On the generalized norms of a group ⋮ ON THE $\mathcal {F}$-RESIDUALS NORM OF A GROUP ⋮ On the Intersection of the Normalizers of the Nilpotent Residuals of All Subgroups of a Finite Group ⋮ On the intersection of the normalizers of the \(\mathcal F\)-residuals of subgroups of a finite 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 ⋮ On the generalized norms of finite groups ⋮ Derived norms of finite groups

Cites Work

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• Classes of finite groups and their properties
• Über den Normalisator der subnormalen Untergruppen
• On the norm of a group
• On the intersection of a class of maximal subgroups of a finite group. II
• A property of the lower central series of a group
• The Wielandt length of finite groups
• Finite groups whose minimal subgroups are normal
• The Wielandt Subgroup of a Finite Soluble Group
• Centre and norm
• Endliche Gruppen I

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