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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Datum:2012
Hauptverfasser: Acciarri, C., Shumyatsky, P.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2012
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/152224
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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