Groups elementarily equivalent to metabelian Baumslag$-$Solitar groups and regular bi-interpretability
Group Theory
2024-07-02 v1 Logic
Abstract
We prove that metabelian BaumslagSolitar group , , is (strongly) regularly bi-interpretable with the ring of integers , and describe in algebraic terms all groups that are elementarily equivalent to .
Cite
@article{arxiv.2407.00642,
title = {Groups elementarily equivalent to metabelian Baumslag$-$Solitar groups and regular bi-interpretability},
author = {Evelina Daniyarova and Alexei Myasnikov},
journal= {arXiv preprint arXiv:2407.00642},
year = {2024}
}