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On conciseness of words in profinite groups

Published 13 Jul 2015 in math.GR | (1507.03362v1)

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 x2, or the word [x2,y].

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