The Fitting class generated by a finite soluble group
type: Item
instance of: scholarly article
title: The Fitting class generated by a finite soluble group
zbMATH Open document ID: 0790.20033
DOI: 10.1007/BF01766299
author: R. A. Bryce
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1992-09-27T00:00:00Z
review text: The article is aimed at using ideas developed by \textit{R. A. Bryce}, \textit{J. Cossey} and \textit{E. A. Ormerod} [Group theory, Proc. Conf., Singapore 1987, 293-321 (1989; Zbl 0667.20016)] and by \textit{B. McCann} [doctoral thesis (1985; Zbl 0584.20009)] to produce a reduction theorem of the McCann type for the Fitting class generated by certain groups. Furthermore the question is addressed whether or not a Fitting class generated by a finite soluble group contains only a finite number of sub- Fitting classes. Finally, new Fitting classes of the Dark type are constructed.
reviewed by: Hans Lausch
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 59771
zbMATH Keywords: reduction theorem
zbMATH Keywords: McCann type
zbMATH Keywords: Fitting class
zbMATH Keywords: finite soluble group
zbMATH Keywords: sub- Fitting classes
zbMATH Keywords: Dark type
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 59771