Rank of an abelian group
In mathematics, the rank, or torsion-free rank, of an abelian group measures how large a group is in terms of how large a vector space one would need to "contain" it; or alternatively how large a free abelian group it can contain as a subgroup.
Related Topics:
Mathematics - Abelian group - Vector space - Free abelian group
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~ Table of Content ~
| ► | Introduction |
| ► | Definition |
| ► | Properties |
| ► | Curiosities about large rank groups |
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