A note on kappa-freeness
Logic
2007-05-23 v1 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0404207,
title = {A note on kappa-freeness},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/0404207},
year = {2007}
}