On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group

DOI10.1007/s40840-021-01231-7zbMath1494.20023OpenAlexW4206977006MaRDI QIDQ2134961

Yanyan Li

Publication date: 4 May 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01231-7

zbMATH Keywords

finite groupsnormalizers\(\sigma\)-nilpotent groups\(\sigma\)-nilpotent hypernorm\(\sigma\)-nilpotent norm

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) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items

On the Nσ*-norm and Dp*-norm of finite groups

Cites Work

• On normalizers of the nilpotent residuals of subgroups of a finite group
• On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group.
• On the norm of the nilpotent residuals of all subgroups of a finite group.
• Some sufficient conditions for a group to be nilpotent
• On the norm of a group
• On the intersection of the normalizers of derived subgroups 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
• On \(\sigma\)-semipermutable subgroups of finite groups
• On sublattices of the subgroup lattice defined by formation Fitting sets
• Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal
• On \({\Sigma}_t^{\sigma }\)-closed classes of finite groups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On the structure of \(\mathfrak {N}_{\sigma }\)-critical groups
• Structure Theory for Canonical Classes of Finite Groups
• The norm of p-decomposable residuals of all subgroups in a finite group
• Centre and norm
• On the Intersection of the Normalizers of the Nilpotent Residuals of All Subgroups of a Finite Group
• On an open problem of σ-soluble groups
• ON THEσ-NILPOTENT NORM AND THEσ-NILPOTENT LENGTH OF A FINITE GROUP
• Endliche Gruppen I
• On n-multiply σ-local formations of finite groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item