English

Freely indecomposable almost free groups with free abelianization

Group Theory 2020-10-07 v1

Abstract

For certain uncountable cardinals κ\kappa we produce a group of cardinality κ\kappa which is freely indecomposable, strongly κ\kappa-free, and whose abelianization is free abelian of rank κ\kappa. The construction takes place in G\"odel's constructible universe LL. This strengthens an earlier result of Eklof and Mekler.

Keywords

Cite

@article{arxiv.1903.03334,
  title  = {Freely indecomposable almost free groups with free abelianization},
  author = {Samuel M. Corson},
  journal= {arXiv preprint arXiv:1903.03334},
  year   = {2020}
}
R2 v1 2026-06-23T08:02:02.364Z