An analog of Shemetkov's conjecture for Fischer classes of finite groups.

DOI10.1134/S0037446613050030zbMath1328.20031WikidataQ122872390 ScholiaQ122872390MaRDI QIDQ392721

E. N. Zalesskaya, S. N. Vorob'ev

Publication date: 15 January 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hall subgroupsFitting classesformationsFischer classes

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (2)

On the class of groups with pronormal Hall \(\pi\)-subgroups. ⋮ Injectors in Fitting sets of finite groups.

Cites Work

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• A conjugacy criterion for Hall subgroups in finite groups.
• A note on Fitting classes
• On the Shemetkov problem for Fitting classes.
• Ein Beispiel aus der Theorie der Schunckklassen
• Finite soluble groups
• Über Formationen und Halluntergruppen endlicher, auflösbarer Gruppen
• Eine Bemerkung zur kleinsten normalen Fittingklasse
• Locality of solvable subgroup-closed Fitting classes
• The Fitting class \({\mathfrak F}^*\)
• Injektoren endlicher auflösbarer Gruppen
• On the theory of Fitting classes of finite soluble groups
• Fitting classes with given properties of Hall subgroups.
• Formations of finite $C_\pi $-groups
• Theorems Like Sylow's
• On Products of Fitting Classes
• Locally defined Fitting classes
• On the injectors of finite groups
• Classes of Finite Groups
• On Fischer's Dualization of Formation Theory

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