On the norm of decomposable subgroups in nonperiodic groups
We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. In particular, we analyze the influence of restrictions imposed on the norm of decomposable subgroups on the properties of the group provided that this norm is non-Dedekind. We also des...
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| Datum: | 2015 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2015
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2100 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. In
particular, we analyze the influence of restrictions imposed on the norm of decomposable subgroups on the properties of the
group provided that this norm is non-Dedekind. We also describe the structure of nonperiodic locally nilpotent groups for
which the indicated norm is non-Dedekind . Furthermore, some relations between the norm of noncyclic Abelian subgroups
and the norm of decomposable subgroups are established. |
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