English

Groups elementary equivalent to finitely generated free metabelian

Group Theory 2025-04-30 v2 Logic

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.

Keywords

Cite

@article{arxiv.2309.08483,
  title  = {Groups elementary equivalent to finitely generated free metabelian},
  author = {Olga Kharlampovich and Alexei Miasnikov},
  journal= {arXiv preprint arXiv:2309.08483},
  year   = {2025}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2109.13133

R2 v1 2026-06-28T12:22:44.684Z