Groups whose non-normal subgroups have a transitive normality relation |
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Authors: | Alessio Russo Giovanni Vincenzi |
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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) |
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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. |
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