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On verbal subgroups in finite and profinite groups

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 نشر من قبل Cristina Acciarri
 تاريخ النشر 2017
  مجال البحث
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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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