# Category:Primitive Complex Roots of Unity

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This category contains results about **Primitive Complex Roots of Unity**.

Definitions specific to this category can be found in **Definitions/Primitive Complex Roots of Unity**.

A **primitive (complex) $n$th root of unity** is an element $\alpha \in U_n$ such that:

- $U_n = \set {1, \alpha, \alpha^2, \ldots, \alpha^{n - 1} }$

## Subcategories

This category has only the following subcategory.