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math.GR2026
On the first-order genus of wreath products and their central extensions
Olga Kharlampovich, Alexei Miasnikov, Denis Osin
We prove that groups of the form , where , are regularly bi-interpretable with and therefore are first-order ri…
math.GR2026
Tensor completions of 2-nilpotent finitely generated torsion-free groups
Mikheil Amaglobeli, Alexei Miasnikov
In this paper, we study tensor completions of finitely generated torsion-free nilpotent groups of class in the quasivariety $\mathcal{N}_{…