The radical of the Fitting class defined by a Fitting functor and a set of primes
type: Item
instance of: scholarly article
title: The radical of the Fitting class defined by a Fitting functor and a set of primes
zbMATH Open document ID: 0592.20024
DOI: 10.1007/BF01196352
author: M. Pilar Gállego
published in: Archiv der Mathematik
publication date: 1987-01-01T00:00:00Z
review text: We describe the radicals of the class \(L_{\pi}(f)\), where \(\pi\) is a set of primes and f is Fitting functor [see \textit{J. C. Beidleman}, \textit{B. Brewster} and \textit{P. Hauck}, Math. Z. 182, 359-384 (1984; Zbl 0518.20014)]. This description unifies the known ones of the radicals of the classes \(K_{\pi}({\mathcal F})\), \(L_{\pi}({\mathcal F})\) and \(L'_{\pi}({\mathcal F})\), where \({\mathcal F}\) is a Fitting class, and it is applied to the study of p-normally embedded Fitting classes and functors.
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 3950815
zbMATH Keywords: radicals
zbMATH Keywords: Fitting functor
zbMATH Keywords: p-normally embedded Fitting classes
MaRDI profile type: Publication
cites work: Fittingfunktoren in endlichen auflösbaren Gruppen. I
cites work: Hall operators for Fitting classes
cites work: On Fischer's Dualization of Formation Theory
full work available at URL: https://doi.org/10.1007/bf01196352
OpenAlex ID: W2093326697
description: scientific article; zbMATH DE number 3950815