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arXiv · 1903.03334

Freely indecomposable almost free groups with free abelianization

Samuel M. Corson
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Abstract

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

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Samuel M. Corson. 2019-03-08. Freely indecomposable almost free groups with free abelianization. https://arxiv.org/abs/1903.03334

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