On metahamiltonian groups of infinite rank. (Q402666)
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scientific article; zbMATH DE number 6335282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On metahamiltonian groups of infinite rank. |
scientific article; zbMATH DE number 6335282 |
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On metahamiltonian groups of infinite rank. (English)
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28 August 2014
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A group is metahamiltonian if all its non-Abelian subgroups are normal. The authors continue their research on the influence of the subgroups of infinite rank on the group's structure. In the article, they prove that a generalized soluble group of infinite rank is metahamiltonian if and only if all its subgroups of infinite rank are either Abelian or normal.
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metahamiltonian groups
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groups of infinite rank
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generalized soluble groups
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