A residual generating prefrattini subgroup

DOI10.1007/BF01195352zbMath0607.20008MaRDI QIDQ1085269

Mark C. Hofmann

Publication date: 1987

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

zbMATH Keywords

saturated formationformationfinite solvable groupprefrattini subgroupscover and avoidance propertyconjugacy class of subgroups\({\mathcal F}\)-residual\(P_{{\mathcal F}}\)-subgroupsFitting chainsolvable nC-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

On Prefrattini residuals ⋮ Locally constructed formations ⋮ On maximal subgroups of finite groups

Cites Work

• Pre-Frattini groups.
• Über Formationen und komplementierbare Hauptfaktoren
• The \(\mathfrak F\)-normalizers of a finite soluble group
• Caratterizzazione dei gruppi risolubili d'ordine finite complementati
• The Prefrattini Residual
• Cover-Avoidance Properties in Finite Soluble Groups
• Endliche Gruppen I

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