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Subjects
20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, $π$ -length, ranks

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Über den grössten p-Normalteiler einer endlichen Gruppe.

Udo Preiser (1982)

Manuscripta mathematica

Über die nilpotente Länge maximaler Untergruppen bei endlichen auflösbaren Gruppen

Klaus Doerk (1994)

Rendiconti del Seminario Matematico della Università di Padova

Über Durchschnitte von Untergruppen endlicher auflösbarer Gruppen.

Otto-Uwe Kramer (1976)

Mathematische Zeitschrift

Über Fittingklassen und die Lockett-Vermutung.

James C. Beidleman, Peter Hauck (1979)

Mathematische Zeitschrift

Über Formationen und Halluntergruppen endlicher, auflösbarer Gruppen.

Dieter Blessenohl (1975)

Mathematische Zeitschrift

Über zyklische Erweiterungen abelscher Gruppen

I. LANGEMANN (1978)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Un'osservazione sulle classi di Fitting normali

Guido Zappa (1981)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We prove that a Fitting class of finite soluble groups is normal if and only if it verifies the condition $\alpha$ ) (see n. 2). Unlike the definition of normal Fitting class, this condition is “constructive”.

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