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arXiv · 2607.11525

Pure-homogeneous Abelian groups

Ziemowit Kostana
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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.

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Ziemowit Kostana. 2026-07-13. Pure-homogeneous Abelian groups. https://arxiv.org/abs/2607.11525

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