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...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/773 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-7732018-04-04T08:38:30Z On verbal subgroups of finitely generated nilpotent groups Bier, Agnieszka finitely generated nilpotent groups, verbal subgroups 20D15, 20F18 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/773 Algebra and Discrete Mathematics; Vol 8, No 2 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/773/303 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-04-04T08:38:30Z |
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OJS |
| language |
English |
| topic |
finitely generated nilpotent groups verbal subgroups 20D15 20F18 |
| spellingShingle |
finitely generated nilpotent groups verbal subgroups 20D15 20F18 Bier, Agnieszka On verbal subgroups of finitely generated nilpotent groups |
| topic_facet |
finitely generated nilpotent groups verbal subgroups 20D15 20F18 |
| format |
Article |
| author |
Bier, Agnieszka |
| author_facet |
Bier, Agnieszka |
| author_sort |
Bier, Agnieszka |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/773 |
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AT bieragnieszka onverbalsubgroupsoffinitelygeneratednilpotentgroups |
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2025-07-17T10:37:19Z |
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2025-07-17T10:37:19Z |
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