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].
Detomi, E., Morigi, M., Shumyatsky, P. (2016). On conciseness of words in profinite groups. JOURNAL OF PURE AND APPLIED ALGEBRA, 220(8), 3010-3015 [10.1016/j.jpaa.2016.02.003].
On conciseness of words in profinite groups
MORIGI, MARTA;
2016
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].File in questo prodotto:
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