# Category:Roots of Unity

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

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

Let $n \in \Z_{> 0}$ be a strictly positive integer.

Let $F$ be a field.

The **$n$th roots of unity of $F$** are defined as:

- $U_n = \set {z \in F: z^n = 1}$

## Subcategories

This category has only the following subcategory.

### C

## Pages in category "Roots of Unity"

The following 11 pages are in this category, out of 11 total.

### C

### I

### L

- User:Leigh.Samphier/P-adicNumbers/Cyclic Group of All n-th Roots of Unity
- User:Leigh.Samphier/P-adicNumbers/Group of All Roots of Unity
- User:Leigh.Samphier/P-adicNumbers/Power of Primitive Root of Unity is Primitive Root of Unity for Divisor
- User:Leigh.Samphier/P-adicNumbers/Root of Unity is Primitive Root for Smaller Power