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On verbal subgroups in finite and profinite groups

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 sa...

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Bibliographic Details
Main Authors: Acciarri, C., Shumyatsky, P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152224
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