On groups with the minimal condition for non-invariant decomposable abelian subgroups
The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (\(md\)-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable ab...
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/906 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Zusammenfassung: | The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (\(md\)-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable abelian subgroups and others belong to the class of \(md\)-groups. The complete description of infinite locally finite and locally soluble non-periodic \(md\)-groups is given, the connection of the class of \(md\)-groups with other classes of groups are investigated. |
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