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math.GR2017
Words of Engel type are concise in residually finite groups
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
Given a group-word w and a group G, the verbal subgroup w(G) is the one generated by all w-values in G. The word w is said to be concise if w(G) is finite whenever the set of w-val…
math.GR2017
On profinite groups with commutators covered by countably many cosets
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
Let w be a group-word. Suppose that the set of all w-values in a profinite group G is contained in a union of countably many cosets of subgroups. We are concerned with the question…