A note on the generalized hypercenter of a finite group

DOI10.1142/S0219498817502024zbMath1378.20019MaRDI QIDQ4594928

Viachaslau I. Murashka

Publication date: 27 November 2017

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

zbMATH Keywords

finite groupsnilpotent groupshereditary saturated formation\(\mathfrak{F}\)-hypercenter of a group

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

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Cites Work

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• On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group.
• On the \(\mathcal F\)-hypercentre and the intersection of all \(\mathcal F\)-maximal subgroups of a finite group.
• A note on intersections of maximal \(\mathcal F\)-subgroups.
• Über den Normalisator der subnormalen Untergruppen
• On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.
• Finite soluble groups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Structure Theory for Canonical Classes of Finite Groups
• Classes of Finite Groups
• Group Elements of Prime Power Index

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