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A note on kappa-freeness

逻辑 2007-05-23 v1 群论

摘要

In this short note we show that if lambda>aleph_1 is regular and lambda is not the successor of a singular cardinal of cofinality aleph_0, and G is a lambda-free abelian group of size lambda, then there is a free group G' subseteq G of size lambda.

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引用

@article{arxiv.math/0404207,
  title  = {A note on kappa-freeness},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0404207},
  year   = {2007}
}