JournalsggdVol. 19, No. 2pp. 681–710

Groups elementarily equivalent to a finitely generated free metabelian group

  • Olga Kharlampovich

    CUNY Graduate Center and Hunter College, New York, USA
    ORCID

  • Alexei Miasnikov

    Stevens Institute, Hoboken, USA
    ORCID
Groups elementarily equivalent to a finitely generated free metabelian group cover
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Abstract

We describe groups elementarily equivalent to a free metabelian group with  generators. We also explore an exponentiation that naturally occurs in metabelian groups.

Cite this article

Olga Kharlampovich, Alexei Miasnikov, Groups elementarily equivalent to a finitely generated free metabelian group. Groups Geom. Dyn. 19 (2025), no. 2, pp. 681–710

DOI 10.4171/GGD/894