Fitting formations of finite soluble groups

DOI10.1007/BF01114925zbMath0229.20011MaRDI QIDQ2550070

R. A. Bryce, John Cossey

Publication date: 1972

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171769

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items (24)

Finite groups factorizable by generalized subnormal subgroups of coprime indices. ⋮ On Local Embedding Properties of Injectors of Finite Soluble Groups ⋮ Hereditary hyperradical formations ⋮ On a question of T. Hawkes ⋮ Properties of critical groups ⋮ On formations of finite groups with the generalised Wielandt property for residuals. ⋮ On questions posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in finite group theory ⋮ Formations and products of \(F(G)\)-subnormal subgroups of finite solvable groups ⋮ Products of F∗(G)-subnormal subgroups of finite groups ⋮ Metanilpotent fitting classes ⋮ Frattiniduale und Fittingklassen endlicher auflösbarer Gruppen ⋮ On the dual theory of a result of Bryce and Cossey ⋮ Unnamed Item ⋮ A Bryce and Cossey type theorem in a class of locally finite groups ⋮ On dualization of a result of Bryce and Cossey theory ⋮ On MP-closed saturated formations of finite groups ⋮ A note on subnormal and abnormal chains ⋮ Subgroup closed Fitting classes ⋮ On residuals of finite groups ⋮ On a theorem of Bryce and Cossey ⋮ Subgroup closed Fitting classes are formations ⋮ Subgroup closed Fitting classes are formations ⋮ Strict normality in fitting classes.III ⋮ On locally normal Fitting classes of finite soluble groups

Cites Work

• Extreme classes of finite soluble groups
• Skeletal classes of soluble groups
• Varieties of groups
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item

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