On verbal subgroups of finitely generated nilpotent groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On verbal subgroups of finitely generated nilpotent groups
|
|
| Creator |
Bier, A.
|
|
| 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.
|
|
| Date |
2019-06-15T16:21:28Z
2019-06-15T16:21:28Z 2009 |
|
| Type |
Article
|
|
| Identifier |
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.. http://dspace.nbuv.gov.ua/handle/123456789/154508 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|