The **unit group** of a number field $K$ is the group of units of the ring of integers of $K$. It is a finitely generated abelian group with cyclic torsion subgroup. A set of generators of a maximal torsion-free subgroup is called a set of fundamental units for $K$.

The unit group of $K$ has as invariants the rank and the regulator of $K$.

**Knowl status:**

- Review status: reviewed
- Last edited by David Roberts on 2019-04-30 17:41:28

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**History:**(expand/hide all)

- 2019-04-30 17:41:28 by David Roberts (Reviewed)
- 2018-07-08 00:55:21 by Alina Bucur (Reviewed)

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