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

DOI10.1080/00927872.2022.2095396OpenAlexW4284966858MaRDI QIDQ5872622

Baoyu Zhang, Zhifei Li, Haonan Jiang, Zhencai Shen

Publication date: 2 January 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2095396

zbMATH Keywords

normalizer\(p\)-decomposable residual\(\sigma\)-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)

Cites Work

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• On the norm of the nilpotent residuals of all subgroups of a finite group.
• Generalizing Baer's norm
• On the \(\mathcal{F}^*\)-norm of a finite group
• Derived norms of finite groups
• On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group
• Generalised norms in finite soluble groups.
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Non-subnormal subgroups of groups.
• On the normalizers of \(\mathcal F\)-residuals of all subgroups of a finite group.
• On the normalizers of p-nilpotency-residuals of all subgroups in a finite group
• The norm of p-decomposable residuals of all subgroups in a finite group
• On the Wielandt subgroup of infinite soluble groups
• ON THEσ-NILPOTENT NORM AND THEσ-NILPOTENT LENGTH OF A FINITE GROUP
• On the generalized norms of a group
• Endliche Gruppen I

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