ON THE $\mathcal {F}$-RESIDUALS NORM OF A GROUP

DOI10.1142/S0219498813501326zbMath1291.20016MaRDI QIDQ5414221

Zhencai Shen, Shi-Rong Li

Publication date: 2 May 2014

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

zbMATH Keywords

formationsFitting lengthsderived subgroupascending seriesintersections of normalizersnilpotent residual

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)

Related Items (3)

On the nilpotent residual norm of a group and the structure of \(S\)-groups ⋮ The norm of p-decomposable residuals of all subgroups in a finite group ⋮ On the generalized norms of a group

Cites Work

• On the norm of the nilpotent residuals of all subgroups of a finite group.
• Normal \(p\)-complements and fixed elements.
• On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.
• Endliche Gruppen I

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