On the \(\mathcal{F}^*\)-norm of a finite group

DOI10.4171/RSMUP/77OpenAlexW3158185582MaRDI QIDQ2039376

Quanfu Yan, Zhencai Shen

Publication date: 2 July 2021

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/77

zbMATH Keywords

formation\(\mathcal{F}\)-residual\(F\)-subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30)

Related Items (1)

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

Cites Work

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• On the \(\mathcal F\)-hypercentre and the intersection of all \(\mathcal F\)-maximal subgroups of a finite group.
• On the norm of the nilpotent residuals of all subgroups of a finite group.
• Normalizers of nilpotent residuals
• On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.
• Normalisers of residuals of finite groups
• On the normalizers of \(\mathcal F\)-residuals of all subgroups of a finite group.
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I

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