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math.GR2021★ 3 cited
-nilpotency criteria for some verbal subgroups
Yerko Contreras Rojas, Valentina Grazian, Carmine Monetta
Let be a finite group, let be a prime and let be a group-word. We say that satisfies if the prime divides the order of for every -value in…
math.GR2021★ 2 cited
On some series of a group related to the non-abelian tensor square of groups
Raimundo Bastos, Ricardo de Oliveira, Carmine Monetta +1
Let be a group. We denote by a certain extension of the non-abelian tensor square by . In this paper we prove that the derived subgroup …