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Preprint Number 1795

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1795. Olga Kharlampovich and Christopher Natoli
On countable elementary free groups

Submission date: 3 June 2020


We prove that if a countable group is elementarily equivalent to a non-abelian free group and all of its finitely generated abelian subgroups are cyclic, then the group is a union of a chain of regular NTQ groups (i.e., hyperbolic towers).

Mathematics Subject Classification: 03C60, 20E05, 20F70

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Full text (arXiv 2006.02414: pdf, ps.

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