Existenz und Konjugiertsein von Untergruppen, die in endlichen auflösbaren Gruppen durch gewisse Indexschranken definiert sind

DOI10.1016/0021-8693(78)90283-1zbMath0382.20020OpenAlexW2035139303MaRDI QIDQ1248034

Wolfgang Gaschütz

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90283-1

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)

Related Items

Ein allgemeiner Sylowsatz in endlichen auflösbaren Gruppen ⋮ Eine Kennzeichnung der Projektoren endlicher auflösbarer Gruppen ⋮ On Gaschütz's theory of generalized Sylow subgroups ⋮ Unnamed Item ⋮ Derived \(p\)-length of a \(p\)-soluble group with bounded indices of fitting \(p\)-subgroups in their normal closures ⋮ Finite groups ⋮ FINITE GROUPS THAT ARE THE UNION OF AT MOST 25 PROPER SUBGROUPS

Cites Work

• Zur Theorie der endlichen auflösbaren Gruppen
• H-Untergruppen in endlichen auflösbaren Gruppen
• The Sylow 2-subgroups of the finite classical groups
• Endliche Gruppen I
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p