On verbal subgroups in finite and profinite groups

dc.contributor.author	Acciarri, C.
dc.contributor.author	Shumyatsky, P.
dc.date.accessioned	2019-06-09T05:35:05Z
dc.date.available	2019-06-09T05:35:05Z
dc.date.issued	2012
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:Primary 20E18; Secondary 20F14.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152224
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This research was supported by CNPq-Brazil.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On verbal subgroups in finite and profinite groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA