Existence of \({\mathcal N}\)-injectors in a not central normal Fitting class

DOI10.1007/BF02761157zbMath0557.20014OpenAlexW1999193757MaRDI QIDQ762266

Francisco Pérez-Monasor, Maria J. Iranzo

Publication date: 1984

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761157

zbMATH Keywords

nilpotent groupsderived seriesgeneralized Fitting subgroupinjectorsnormal Fitting class

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

A characteristic subgroup of \({\mathcal N}\)-stable groups ⋮ Nilpotent injectors in finite groups ⋮ Stability with respect to a Fitting class

Cites Work

• Fittingklassen endlicher Gruppen, in denen gewisse Hauptfaktoren einfach sind
• Zur Charakterisierung der Fittinggruppe der Automorphismengruppe einer endlichen Gruppe
• Über nichtauflösbare normale Fittingklassen
• Injectors and normal subgroups of finite groups
• The \(\pi\)-layer of a finite group
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item

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