On verbal subgroups of finitely generated nilpotent groups
The paper concerns the problem of characterization of verbal subgroups in finitely generated nilpotent groups. We introduce the notion of verbal poverty and show that every verbally poor finitely generated nilpotent group is a finite p-group with the lower p-central series for certain prime p. We c...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2009 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154508 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On verbal subgroups of finitely generated nilpotent groups / A. Bier // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 1–10. — Бібліогр.: 5 назв. — англ. |