On groups factorizable in commuting almost locally normal subgroups
We prove that an RN-group (in particular, locally solvable) G =G 1 G 2 ...G n with G i and π(G i ) ∩ π(G j ) = ⊘,i ≠j is a periodic hyper-Abelian group if the subgroupsG j are almost locally normal.
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| Datum: | 1996 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5342 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We prove that an RN-group (in particular, locally solvable) G =G 1 G 2 ...G n with G i and π(G i ) ∩ π(G j ) = ⊘,i ≠j is a periodic hyper-Abelian group if the subgroupsG j are almost locally normal. |
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