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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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2009
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| Series: | Algebra and Discrete Mathematics |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
oai:nasplib.isofts.kiev.ua:123456789-154508 |
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oai:nasplib.isofts.kiev.ua:123456789-1545082025-02-23T17:31:32Z On verbal subgroups of finitely generated nilpotent groups Bier, A. 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 conclude with few examples of verbally poor groups. 2009 Article 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. 1726-3255 2000 Mathematics Subject Classification:20D15, 20F18.. https://nasplib.isofts.kiev.ua/handle/123456789/154508 en Algebra and Discrete Mathematics application/pdf Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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 conclude with few examples of verbally poor groups. |
| format |
Article |
| author |
Bier, A. |
| spellingShingle |
Bier, A. On verbal subgroups of finitely generated nilpotent groups Algebra and Discrete Mathematics |
| author_facet |
Bier, A. |
| author_sort |
Bier, A. |
| title |
On verbal subgroups of finitely generated nilpotent groups |
| title_short |
On verbal subgroups of finitely generated nilpotent groups |
| title_full |
On verbal subgroups of finitely generated nilpotent groups |
| title_fullStr |
On verbal subgroups of finitely generated nilpotent groups |
| title_full_unstemmed |
On verbal subgroups of finitely generated nilpotent groups |
| title_sort |
on verbal subgroups of finitely generated nilpotent groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT biera onverbalsubgroupsoffinitelygeneratednilpotentgroups |
| first_indexed |
2025-07-22T04:20:53Z |
| last_indexed |
2025-07-22T04:20:53Z |
| _version_ |
1838319459338551296 |