[[Abelian group]]
# Free abelian group
A **free abelian group** is another name for a [[free module|free $\mathbb Z$-module]]. #m/def/group
## Properties
- [[Subgroup of a free abelian group]]
- [[Cyclic central extension of a free abelian group]]
- [[2 central extension of a free abelian group]]
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