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math.GR2023
Groups elementary equivalent to finitely generated free metabelian
Olga Kharlampovich, Alexei Miasnikov
We describe groups elementarily equivalent to a free metabelian group with n generators. We also explore an exponentiation that naturally occurs in metabelian groups.
math.GR2023
Quantifying separability in limit groups via representations
Keino Brown, Olga Kharlampovich
We show that for any finitely generated subgroup of a limit group there exists a finite-index subgroup containing , such that is a subgroup of a group obtained f…