26 citations · 27 across the 22 of their papers we have counts for
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math.GR2013
On countable coverings of word values in profinite groups
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
We prove the following results. Let w be a multilinear commutator word. If G is a profinite group in which all w-values are contained in a union of countably many periodic subgroup…
math.GR2013
Commutators and pronilpotent subgroups in profinite groups
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
Let G be a profinite group in which all pronilpotent subgroups generated by commutators are periodic. We prove that G' is locally finite.
math.GR2013
Bounding the Exponent of a Verbal Subgroup
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
We deal with the following conjecture. If w is a group word and G is a finite group in which any nilpotent subgroup generated by w-values has exponent dividing e, then the exponent…