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math.GR2021
Strong conciseness of coprime and anti-coprime commutators
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
A coprime commutator in a profinite group is an element of the form , where and have coprime order and an anti-coprime commutator is a commutator such th…
math.GR2021
On the rank of a verbal subgroup of a finite group
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
We show that if is a multilinear commutator word and a finite group in which every metanilpotent subgroup generated by -values is of rank at most , then the rank of t…
math.GR2021
Primitive permutation IBIS groups
Andrea Lucchini, Marta Morigi, Mariapia Moscatiello
Let be a finite permutation group on . An ordered sequence of elements of , , is an irredundant base for if the pointwise stabilizer $G_{(ω_1,\dots,…