The Fitting subgroup of a stable group
type: Item
instance of: scholarly article
title: The Fitting subgroup of a stable group
zbMATH Open document ID: 0831.03018
author: F. O. Wagner
published in: Journal of Algebra
publication date: 1996-02-20T00:00:00Z
review text: The author proves the following results: The Fitting subgroup of a stable group is definable. The generalised Fitting subgroup (i.e. the central product of the Fitting subgroup and the layer) of such a group is type- definable. The radical (i.e. the maximal soluble normal subgroup) of a superstable group exists and is definable; it is also the maximal locally soluble normal subgroup.
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 03C45
Mathematics Subject Classification ID: 20A15
Mathematics Subject Classification ID: 20F19
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 783879
zbMATH Keywords: definable subgroup
zbMATH Keywords: Fitting subgroups
zbMATH Keywords: stable group
zbMATH Keywords: radical
zbMATH Keywords: superstable group
MaRDI profile type: Publication
full work available at URL: jabr.1995.1142
OpenAlex ID: W1983945860
DOI: 10.1006/JABR.1995.1142
description: scientific article; zbMATH DE number 783879