ON THEσ-NILPOTENT NORM AND THEσ-NILPOTENT LENGTH OF A FINITE GROUP

DOI10.1017/S0017089520000051zbMath1477.20033OpenAlexW3006733683MaRDI QIDQ5140597

Bin Hu, Jianhong Huang, Alexander N. Skiba

Publication date: 16 December 2020

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089520000051

zbMATH Keywords

$\sigma$-nilpotent length$\sigma$-nilpotent norm$\sigma$-nilpotent residual

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) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items

On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group, Unnamed Item, Unnamed Item, On the \(\mathfrak{F} \)-norm of a finite group, On the Nσ*-norm and Dp*-norm of finite groups

Cites Work

• On the norm of the nilpotent residuals of all subgroups of a finite group.
• Finite soluble groups
• On \(\sigma\)-supersoluble groups and one generalization of \textit{CLT}-groups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Characterizations of finite \(\sigma\)-nilpotent and \(\sigma\)-quasinilpotent groups
• Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On the normalizers of \(\mathcal F\)-residuals of all subgroups of a finite group.
• Classes of Finite Groups
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item