The term z_n refers to the group of nth roots of unity, which are complex numbers that satisfy the equation $$z^n = 1$$. These roots are evenly spaced points on the unit circle in the complex plane, making z_n a vital concept in both algebra and geometry, as they illustrate relationships between roots, symmetry, and group structures. The structure of z_n also plays a significant role in applications such as Fourier transforms and signal processing.
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