On PN-groups and the norm of minimal subgroups

DOI10.1142/s0219498824501093OpenAlexW4315652374MaRDI QIDQ6151675

Lü Gong, Baojun Li, Unnamed Author

Publication date: 11 March 2024

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

Full work available at URL: https://doi.org/10.1142/s0219498824501093

zbMATH Keywords

normsupersoluble group\(PN\)-groups

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)

Cites Work

• Unnamed Item
• 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.
• On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups.
• On the norm of a group
• Finite soluble groups
• Subgroup lattices of groups
• On the intersection of the normalizers of the \(\mathcal F\)-residuals of subgroups of a finite group.
• Generalised norms in finite soluble groups.
• On the normalizers of \(\mathcal F\)-residuals of all subgroups of a finite group.
• M-groups and 2-groups
• Finite groups whose minimal subgroups are normal
• Endliche Gruppen I

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