On verbal subgroups in finite and profinite groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On verbal subgroups in finite and profinite groups
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| Creator |
Acciarri, C.
Shumyatsky, P. |
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| Description |
Let w be a multilinear commutator word. In the present paper we describe recent results that show that if G is a profinite group in which all w-values are contained in a union of finitely (or in some cases countably) many subgroups with a prescribed property, then the verbal subgroup w(G) has the same property as well. In particular, we show this in the case where the subgroups are periodic or of finite rank.
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| Date |
2019-06-09T05:35:05Z
2019-06-09T05:35:05Z 2012 |
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| Type |
Article
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| Identifier |
On verbal subgroups in finite and profinite groups / C. Acciarri, P. Shumyatsky // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 1–13. — Бібліогр.: 32 назв. — англ.
1726-3255 2010 MSC:Primary 20E18; Secondary 20F14. http://dspace.nbuv.gov.ua/handle/123456789/152224 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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