On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group.

DOI10.1016/j.jalgebra.2014.01.042zbMath1333.20018arXiv1308.0948OpenAlexW1533086075WikidataQ112881564 ScholiaQ112881564MaRDI QIDQ401944

Xiao-yu Chen, Wen-Bin Guo

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1308.0948

zbMATH Keywords

normfinite groupsmaximal subgroupscritical groupsFitting classesformationsradicalschief factorsfinite nilpotent groupsresidualsascending seriesfinite \(\pi\)-groupshypercentral subgroupsintersections of normalizers

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) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items

On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group, A note on the generalized hypercenter of a finite group, On PN-groups and the norm of minimal subgroups, Unnamed Item, On generalized \(\mathfrak U\)-hypercentral subgroups of a finite group., On the generalized norm of a finite group, On the generalized norms of finite groups

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