Homomorphs and wreath product extensions

DOI10.1017/S0305004100059739zbMath0491.20018OpenAlexW2100240080MaRDI QIDQ3952296

Peter Förster

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100059739

zbMATH Keywords

finite solvable groupsclosure operationsSchunck classessaturated formationhomomorphselementary Sylow subgroupsKrasner-Kaloujnine embedding theoremwreath product of abelian groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Extensions, wreath products, and other compositions of groups (20E22)

Cites Work

• Über die iterierten Definitionsbereiche von Homomorphen endlicher auflösbarer Gruppen
• Charakterisierungen einiger Schunckklassen endlicher auflösbarer Gruppen. I
• Zwei Klassen von Formationen endlicher auflösbarer Gruppen, deren Halbverband gesättigter Unterformationen genau ein maximales Element besitzt. (Two classes of formations of finite solvable groups the semilattice of saturated subformations of which has exactly one maximal element)
• Endliche Gruppen I

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