Remarks on formations
type: Item
instance of: scholarly article
title: Remarks on formations
zbMATH Open document ID: 0738.20016
DOI: 10.1007/BF02773428
published in: Israel Journal of Mathematics
publication date: 1992-06-26T00:00:00Z
review text: The paper deals with some questions concerning the theory of formations of finite groups by applying the normalizer theory of finite groups developed in 1989. A description of local formations with a unique maximal local definition, generalizing Doerk's one in the soluble case, and a description of local formations \({\mathcal F}\) such that the unique largest subgroup-closed class contained in \({\mathcal F}\) is also a local formation are given. Then, one studies the formation generated by a finite group \(G\) in terms of the formation generated by quotients of \(G\). Finally, the Schunck classes which are saturated formations are characterized by means of a property of their boundaries.
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 21528
zbMATH Keywords: formations of finite groups
zbMATH Keywords: normalizer
zbMATH Keywords: local formations
zbMATH Keywords: local definition
zbMATH Keywords: subgroup-closed class
zbMATH Keywords: Schunck classes
zbMATH Keywords: saturated formations
author: Adolfo Ballester-Bolinches
reviewed by: Rodica Covaci
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 21528