Definition:Root of Unity/Primitive

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Definition

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

Let $F$ be a field.


A primitive $n$th root of unity of $F$ is an element $\alpha \in U_n$ such that:

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


Also see


Sources