An elementary proof of Lubeseder's theorem
type: Item
instance of: scholarly article
title: An elementary proof of Lubeseder's theorem
zbMATH Open document ID: 0686.20012
DOI: 10.1007/BF01198346
author: Peter Förster
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: A well-known theorem in the theory of formations of soluble groups is Lubeseder's theorem. This says that every saturated formation of finite soluble groups is locally definable. In this paper a singular proof of the result is given. The extended result is proved, i.e. the version which omits the reference to soluble groups. The proof still mainly uses the techniques of modules over finite groups.
reviewed by: A. R. Camina
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20F17
zbMATH DE Number: 4123974
zbMATH Keywords: formations of soluble groups
zbMATH Keywords: Lubeseder's theorem
zbMATH Keywords: saturated formation
zbMATH Keywords: locally definable
MaRDI profile type: Publication
cites work: Gaschütz functors on finite soluble groups
cites work: Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden
cites work: The Frattini module
cites work: Every saturated formation is a local formation
full work available at URL: https://doi.org/10.1007/bf01198346
OpenAlex ID: W1970476740
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description: scientific article; zbMATH DE number 4123974