An alternative proof of Hill's criterion of freeness for abelian groups

Details An alternative proof of Hill's criterion of freeness for abelian groups An alternative proof of Hill's criterion of freeness for abelian groups

2011-12-02

arxiv.org/abs/1112.0602v1

Colombian Journal of Mathematics 44(1), pp. 59-64, 2010

Mathematics

Group Theory

Scientific paper

In this note, we provide a different proof of Hill's criterion of freeness
for abelian groups. Our proof hinges on the construction of suitable families
of subgroups of the links in Hill's theorem and, ultimately, on the
construction of such a family of pure subgroups of the group itself.

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