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arXiv · 1507.03362

On conciseness of words in profinite groups

Eloisa Detomi·Marta Morigi·Pavel Shumyatsky
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Abstract

Let w be a group word. It is conjectured that if w has only countably many values in a profinite group G, then the verbal subgroup w(G) is finite. In the present paper we confirm the conjecture in the cases where w is a multilinear commutator word, or the word x^2, or the word [x^2,y].

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Eloisa Detomi, Marta Morigi, Pavel Shumyatsky. 2015-07-13. On conciseness of words in profinite groups. https://arxiv.org/abs/1507.03362

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