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.File in questo prodotto:
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