Pure-homogeneous Abelian groups

Ziemowit Kostana

Pure-homogeneous Abelian groups

Group Theory 2026-07-13 v1 Logic

Authors: Ziemowit Kostana

Abstract

We study Fra\"iss\'e classes of Abelian groups with pure embeddings. We characterize Abelian groups that are universal and homogeneous for: finitely co-generated groups, finite groups, groups of size less that $\kappa$ , where $\kappa$ is strongly inaccessible.

Cite

@article{arxiv.2607.11525,
  title  = {Pure-homogeneous Abelian groups},
  author = {Ziemowit Kostana},
  journal= {arXiv preprint arXiv:2607.11525},
  year   = {2026}
}

Comments

submitted to Algebra Universalis