On a class of finite soluble groups

Adolfo Ballester-Bolinches, John Cossey, Yangming Li

    Research output: Contribution to journalArticlepeer-review


    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 subnormal closure are also characterised.
    Original languageEnglish
    Pages (from-to)839-846pp
    JournalJournal of Group Theory
    Issue number5
    Publication statusPublished - 2018


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