Groups elementarily equivalent to a finitely generated free metabelian group

Olga Kharlampovich; Alexei Miasnikov

doi:10.4171/GGD/894

Groups elementarily equivalent to a finitely generated free metabelian group

Olga Kharlampovich
, Alexei Miasnikov

Department of Mathematical Sciences

City University of New York

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	681-710
Number of pages	30
Journal	Groups, Geometry, and Dynamics
Volume	19
Issue number	2
DOIs	https://doi.org/10.4171/GGD/894
State	Published - 2025

Keywords

first-order equivalence
metabelian group

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10.4171/GGD/894

Cite this

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title = "Groups elementarily equivalent to a finitely generated free metabelian group",

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Groups elementarily equivalent to a finitely generated free metabelian group

Abstract

Keywords

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