Disjoint Non-Free Subgoups of Abelian Groups
逻辑
2007-05-23 v1
摘要
Let G be an abelian group and let lambda be the smallest rank of any group whose direct sum with a free group is isomorphic to G. If lambda is uncountable, then G has lambda pairwise disjoint, non-free subgroups. There is an example where lambda is countably infinite and G does not have even two disjoint, non-free subgroups.
引用
@article{arxiv.math/0509406,
title = {Disjoint Non-Free Subgoups of Abelian Groups},
author = {Andreas Blass and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0509406},
year = {2007}
}