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Results tagged with abelian-groups
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user 43107
For questions about groups whose elements commute.
5
votes
Divisible torsion $\mathbb{Z}$-modules
Since $\mathbf{Q}/\mathbf{Z} = \varinjlim (1/n) \mathbf{Z}/\mathbf{Z}$ and $V = \varinjlim V[n]$ (as $V$ is torsion), it suffices to show that for $n > 0$ the natural map ${\rm{Hom}}(\mathbf{Q}/\mathb …
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