On the theory of Fitting classes of finite soluble groups
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Publication:2554414
DOI10.1007/BF01187220zbMath0243.20015OpenAlexW2134950882MaRDI QIDQ2554414
Publication date: 1973
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/171882
Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05)
Related Items (20)
On new classes of conjugate injectors of finite groups ⋮ Conjugate \(\pi\)-normally embedded Fitting functors ⋮ Certain Fitting classes of groups with min-p for all p ⋮ An intersection property of Hall \(\pi\)-subgroups affecting \(\pi\)-length in finite \(\pi\)-solvable groups ⋮ An analog of Shemetkov's conjecture for Fischer classes of finite groups. ⋮ Über Vertauschbarkeit, normale Einbettung und Dominanz bei Fittingklassen endlicher auflösbarer Gruppen ⋮ Fitting functors and radicals of finite groups. ⋮ Nilpotent length and system permutability ⋮ A characterization of dominant local Fitting classes. ⋮ Products of Fitting classes ⋮ On the lattice of \(\mathcal F\)-Dnormal subgroups in finite soluble groups ⋮ Endliche auflösbare Gruppen mit normalem \(\mathfrak I\)-Injektor ⋮ On products and normal fitting classes ⋮ Strict normality in Fitting classes. I ⋮ Eine Bemerkung zur kleinsten normalen Fittingklasse ⋮ The join of two Fitting classes ⋮ Hall operators for Fitting classes ⋮ Closure properties for Fitting functors ⋮ Normal Fitting classes and the Lockett ordering ⋮ Fittingfunktoren in endlichen auflösbaren Gruppen. I
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