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arXiv · 1711.01881

Finite rank and pseudofinite groups

Daniel Palacín
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Abstract

It is proven that an infinite finitely generated group cannot be elementarily equivalent to an ultraproduct of finite groups of a given Prüfer rank. Furthermore, it is shown that an infinite finitely generated group of finite Prüfer rank is not pseudofinite.

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BibTeXRIS

Daniel Palacín. 2018-02-25. Finite rank and pseudofinite groups. https://arxiv.org/abs/1711.01881

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