scientific article; zbMATH DE number 7359834

zbMath1474.20032MaRDI QIDQ4993636

Viachaslau I. Murashka

Publication date: 16 June 2021

Full work available at URL: http://www.advgrouptheory.com/journal/Files/click_url.php?id=Volumes/10/Murashka.pdf#vol10

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zbMATH Keywords

\(\sigma\)-nilpotent groupShemetkov property\(\mathfrak{F}\)-hypercenter

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)

Cites Work

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• 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.
• Finite soluble groups
• On the \(\mathfrak{F}\)-hypercenter and the intersection of \(\mathfrak{F}\)-maximal subgroups of a finite group
• Two questions of L. A. Shemetkov on critical groups
• On two problems by L. A. Shemetkov
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Structure Theory for Canonical Classes of Finite Groups
• A note on the generalized hypercenter of a finite group
• Classes of Finite Groups
• Group Elements of Prime Power Index

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