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Groups whose non-normal subgroups have a transitive normality relation
Authors:Alessio Russo  Giovanni Vincenzi
Institution:(1) Dipartimento di Matematica, Università di Lecce, Via Arnesano-Lecce I, 73100 Lecce, (Italy);(2) Dipartimento di Matematica e Informatica, Università di Salerno, Via S. Allende I, 84081 Baronissi Salerno, (Italy)
Abstract:A group is calledmetahamiltonian if all its non-normal subgroups are abelian. The structure of metahamiltonian groups has been investigated by Romalis and Sesekin. In this paper groups are studied in which every non-normal subgroup has a transitive normality relation.
Keywords:
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