Groups in which every finite subnormal subgroup is normal.
type: Item
instance of: scholarly article
title: Groups in which every finite subnormal subgroup is normal.
zbMATH Open document ID: 1342.20029
author: Masoud Chaboksavar
author: F. de Giovanni
published in: Ricerche di Matematica
publication date: 2015-11-18T00:00:00Z
review text: As a generalization of the groups with transitivity of normality (T-groups), the authors consider generalized soluble groups in which all finite subnormal subgroups are normal (FT-groups). Recall that a group \(G\) is called subsoluble if it has an ascending series with abelian factors consisting of subnormal subgroups. The authors' main results is in classification of subsoluble FT \(p\)-groups which are not T-groups. In particular, for \(p\) odd they are abelian.
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20F19
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 6510818
zbMATH Keywords: subnormal subgroups
zbMATH Keywords: T-groups
zbMATH Keywords: finite subgroups
zbMATH Keywords: groups with transitive normality
zbMATH Keywords: generalized soluble groups
reviewed by: Igor Subbotin
MaRDI profile type: Publication
full work available at URL: s11587-015-0238-8
OpenAlex ID: W2180467377
cites work: GROUPS OF INFINITE RANK IN WHICH NORMALITY IS A TRANSITIVE RELATION
cites work: Groups in which every infinite subnormal subgroup is normal
cites work: Gruppen, in denen das Normalteilersein transitiv ist.
cites work: Q5736170
cites work: Q5654235
DOI: 10.1007/S11587-015-0238-8
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description: scientific article; zbMATH DE number 6510818