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Abstract For certain uncountable cardinals κ, we produce a group of cardinality κ which is freely indecomposable, strongly κ-free, and whose abelianization is free abelian of rank κ. The construction… Click to show full abstract
Abstract For certain uncountable cardinals κ, we produce a group of cardinality κ which is freely indecomposable, strongly κ-free, and whose abelianization is free abelian of rank κ. The construction takes place in Gödel’s constructible universe L. This strengthens an earlier result of Eklof and Mekler.
Keywords:
abelianization;
free groups;
freely indecomposable;
groups free;
almost free;
indecomposable almost
Journal Title: Journal of Group Theory
Year Published: 2019
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Journal Title: Journal of Group Theory
Year Published: 2019
Link to full text (if available)
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recommendations!