Locally constructed formations

DOI10.1007/BF01199811zbMath0689.20018MaRDI QIDQ581667

Mark C. Hofmann

Publication date: 1989

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

zbMATH Keywords

finite solvable groupssaturated formationFrattini subgrouphomomorphschief factorgeneralized prefrattini subgrouplocal definitionlocally constructedSchunck classTN-formationstotally nonsaturated

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) Formations of groups, Fitting classes (20F17) Products of subgroups of abstract finite groups (20D40)

Cites Work

• A residual generating prefrattini subgroup
• Locally complemented formations
• Über Formationen und komplementierbare Hauptfaktoren
• Die größte untergruppenabgeschlossene Teilklasse einer Schunckklasse endlicher auflösbarer Gruppen
• The \(\mathfrak F\)-normalizers of a finite soluble group
• \({\mathfrak H}\) normalizers of finite solvable groups
• Closure operations for Schunck classes and formations of finite solvable groups
• Normally Closed Saturated Formations

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