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Possible Duplicate:
Are all algebraic integers with absolute value 1 roots of unity?

Let $\alpha$ be an algebraic integer. Suppose that all the roots of its minimal polynomial have absolute value 1. Is $\alpha$ a root of unity?

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    Meta discussion: http://meta.math.stackexchange.com/questions/4745/should-this-question-be-closed-as-duplicate2012-07-25

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