Nilpotent injectors in finite groups

DOI10.1017/S0004972700009965zbMath0573.20021OpenAlexW2132874830MaRDI QIDQ5902849

Peter Förster

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700009965

zbMATH Keywords

nilpotent groupsquasinilpotent groupsFeit-Thompson theoremsemisimple radicalN-injectors

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 (6)

On properties of formations of quasinilpotent groups ⋮ Fitting classes \({\mathcal F}\) such that all finite groups have \({\mathcal F}\)-injectors ⋮ On the conjugacy of nilpotent injectors in finite groups. ⋮ On the problem of existence and conjugacy of injectors of partially \(\pi\)-soluble groups ⋮ On the existence of certain injectors in finite groups ⋮ On \(B\)-injectors of the covering groups of \(A_n\).

Cites Work

• Fittingklassen endlicher Gruppen, in denen gewisse Hauptfaktoren einfach sind
• Existence of \({\mathcal N}\)-injectors in a not central normal Fitting class
• Injektoren endlicher auflösbarer Gruppen
• On the automorphism group of a finite group having no non-identity normal subgroups of odd order

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