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Freely indecomposable almost free groups with free abelianization
Journal of Group Theory ( IF 0.5 ) Pub Date : 2020-05-01 , DOI: 10.1515/jgth-2019-0102
Samuel M. Corson 1
Affiliation  

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.

中文翻译:

具有自由阿贝尔化的自由不可分解的几乎自由群

摘要 对于某些不可数的基数κ,我们产生一组基数κ,它是自由不可分解的,强无κ的,并且其阿贝尔化是κ阶的自由阿贝尔。构造发生在哥德尔的可构造宇宙 L 中。这加强了 Eklof 和 Mekler 的早期结果。
更新日期:2020-05-01
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