The existence of injectors in finite groups with respect to certain Fitting classes
type: Item
instance of: scholarly article
title: The existence of injectors in finite groups with respect to certain Fitting classes
zbMATH Open document ID: 0644.20016
DOI: 10.5565/PUBLMAT_32188_04
published in: Publicacions Matemàtiques
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/41019
review text: Modifying a method employed in their earlier papers [Isr. J. Math. 56, 97-101 (1986; Zbl 0611.20010); Commun. Algebra 15, 2193-2197 (1987; Zbl 0625.20018)], the authors establish the following Theorem. If \({\mathcal F}\) denotes a saturated Fitting formation such that \({\mathcal F}{\mathcal F}={\mathcal F}\), then every finite group has \({\mathcal F}\)-injectors. \{Reviewer's remark: A common generalization of this result and the corresponding results in the two notes quoted above can be found in the reviewer's paper [Southeast Asian Bull. Math. 11, 1-11 (1987; Zbl 0631.20013)].\}
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 4049867
zbMATH Keywords: saturated Fitting formation
zbMATH Keywords: injectors
author: Maria J. Iranzo
author: Francisco Pérez-Monasor
MaRDI profile type: Publication
OpenAlex ID: W4252502259
description: scientific article; zbMATH DE number 4049867