On countable elementary free groups
نویسندگان
چکیده
We prove that if a countable group is elementarily equivalent to non-abelian free and all of its abelian subgroups are cyclic, then the union chain regular NTQ groups (i.e., hyperbolic towers).
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ژورنال
عنوان ژورنال: Izvestiya: Mathematics
سال: 2021
ISSN: ['1468-4810', '1064-5632']
DOI: https://doi.org/10.1070/im9087