Closure properties for Fitting functors
type: Item
instance of: scholarly article
title: Closure properties for Fitting functors
zbMATH Open document ID: 0679.20016
DOI: 10.1007/BF01300063
author: J. C. Beidleman
author: Peter Hauck
published in: Monatshefte für Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178433
review text: Fitting functors have been introduced by \textit{B. Brewster} and the present authors [Math. Z. 182, 359-384 (1983; Zbl 0518.20014)] as a generalization of injectors and radicals for Fitting classes of finite (soluble) groups. This paper provides definitions and properties of certain types of Fitting functors which resemble injectors and radicals for Fitting classes with additional closure properties, most prominently subgroup- or quotient-closed Fitting classes and Fischer classes.
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 4112862
zbMATH Keywords: finite solvable groups
zbMATH Keywords: closure operators
zbMATH Keywords: normally embedded subgroups
zbMATH Keywords: Fitting functors
zbMATH Keywords: injectors
zbMATH Keywords: radicals
zbMATH Keywords: Fitting classes
zbMATH Keywords: Fischer classes
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4112862