- #1

Mr Davis 97

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- 44

## Homework Statement

Let ##\mu=\{z\in \mathbb{C} \setminus \{0\} \mid z^n = 1 \text{ for some integer }n \geq 1\}##. Show that ##\mu = \langle z \rangle## for some ##z \in \mu##.

## Homework Equations

## The Attempt at a Solution

My thought would be just to write out all of the elements of ##\mu## in exponential form and show that ##e^{\frac{2 \pi i}{n}}## generates all of the other elements. Would this be the best way to do this?