A group is called metahamiltonian if all its non-abelian subgroups are normal. It is proved here that a (generalized) soluble group satisfying the weak minimal condition on non-normal non-abelian subgroups is either minimax or metahamiltonian.

Groups with the weak minimal condition on non-normal non-abelian subgroups / De Mari, F.. - In: BEITRAGE ZUR ALGEBRA UND GEOMETRIE. - ISSN 0138-4821. - 61:1(2020), pp. 1-7. [10.1007/s13366-019-00450-1]

Groups with the weak minimal condition on non-normal non-abelian subgroups

De Mari F.
2020

Abstract

A group is called metahamiltonian if all its non-abelian subgroups are normal. It is proved here that a (generalized) soluble group satisfying the weak minimal condition on non-normal non-abelian subgroups is either minimax or metahamiltonian.
2020
Groups with the weak minimal condition on non-normal non-abelian subgroups / De Mari, F.. - In: BEITRAGE ZUR ALGEBRA UND GEOMETRIE. - ISSN 0138-4821. - 61:1(2020), pp. 1-7. [10.1007/s13366-019-00450-1]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/853948
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