English

Co-Hopfian virtually free groups and elementary equivalence

Group Theory 2021-12-09 v1 Logic

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.

Keywords

Cite

@article{arxiv.2112.04072,
  title  = {Co-Hopfian virtually free groups and elementary equivalence},
  author = {Simon André},
  journal= {arXiv preprint arXiv:2112.04072},
  year   = {2021}
}
R2 v1 2026-06-24T08:08:28.594Z