Finite rank and pseudofinite groups
Logic
2018-02-27 v3 Group Theory
Abstract
It is proven that an infinite finitely generated group cannot be elementarily equivalent to an ultraproduct of finite groups of a given Pr\"ufer rank. Furthermore, it is shown that an infinite finitely generated group of finite Pr\"ufer rank is not pseudofinite.
Keywords
Cite
@article{arxiv.1711.01881,
title = {Finite rank and pseudofinite groups},
author = {Daniel Palacín},
journal= {arXiv preprint arXiv:1711.01881},
year = {2018}
}