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On a class of finite soluble groups

Ballester-Bolinches, Adolfo; Cossey, Peter (John); Li, Yangming


The aim of this paper is to study the class of finite groups in which every subgroup is self-normalising in its subnormal closure. It is proved that this class is a subgroup-closed formation of finite soluble groups which is not closed under taking Frattini extensions and whose members can be characterised by means of their Carter subgroups. This leads to new characterisations of finite soluble T-, PT- and PST-groups. Finite groups whose p-subgroups, p a prime, are self-normalising in their...[Show more]

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
Source: Journal of Group Theory
DOI: 10.1515/jgth-2018-0015
Access Rights: Open Access


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