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arXiv · 2006.02414

On countable elementary free groups

Olga Kharlampovich·Christopher Natoli
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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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Olga Kharlampovich, Christopher Natoli. 2020-06-03. On countable elementary free groups. https://arxiv.org/abs/2006.02414

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