Submission date: 8 December 2021

Abstract:

We prove that two co-Hopfian finitely generated virtually free groups are elementarily equivalent if and only if they are isomorphic. We also prove that co-Hopfian finitely generated virtually free groups are homogeneous in the sense of model theory.

Mathematics Subject Classification: 20E06, 03C68 \\

Keywords and phrases:

Full text arXiv 2112.04072: pdf, ps.