Complex Roots of Unity/Examples/Square Roots
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Example of Complex Roots of Unity
The complex square roots of unity are the elements of the set:
- $U_2 = \set {z \in \C: z^2 = 1}$
They are:
| \(\ds e^{0 i \pi / 2}\) | \(=\) | \(\ds 1\) | ||||||||||||
| \(\ds e^{2 i \pi / 2}\) | \(=\) | \(\ds -1\) |
Sources
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Chapter $2$: The Symmetric Groups: $\S 81$