\({\mathfrak F}\)-bases and subgroup embeddings in finite solvable groups

DOI10.1007/BF01189857zbMath0588.20014OpenAlexW2066369412MaRDI QIDQ1073177

Arnold D. Feldman

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189857

zbMATH Keywords

Frattini argument\({\mathfrak F}\)- subnormality\({\mathfrak F}\)-pronormalityformation of solvable groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

ON GENERALISED PRONORMAL SUBGROUPS OF FINITE GROUPS ⋮ Fitting classes and lattice formations II ⋮ A class of generalised finite \(T\)-groups. ⋮ \({\mathcal F}\)-subnormal closure ⋮ On the lattice of \(\mathcal F\)-subnormal subgroups

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• \(\mathfrak F\)-reducers in finite soluble groups
• A Criterion for Pronormality
• Pronormality in Finite Groups
• The Relation Between F-Reducers and F-Subnormalizers in Finite Soluble Groups

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