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On verbal subgroups in finite and profinite groups

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...

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Bibliographic Details
Main Authors: Acciarri, Cristina, Shumyatsky, Pavel
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Profinite groups
verbal subgroups
coverings
multilinear commutators
Primary 20E18; Secondary 20F14
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/707
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https://admjournal.luguniv.edu.ua/index.php/adm/article/view/707

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