On countable elementary free groups
Logic
2021-05-12 v2 Group Theory
Abstract
We prove that if a countable group is elementarily equivalent to a non-abelian free group and all of its abelian subgroups are cyclic, then the group is a union of a chain of regular NTQ groups (i.e., hyperbolic towers).
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@article{arxiv.2006.02414,
title = {On countable elementary free groups},
author = {Olga Kharlampovich and Christopher Natoli},
journal= {arXiv preprint arXiv:2006.02414},
year = {2021}
}
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