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Splitting field of $x^{n}-1$ over $\mathbb{Q}$

Let $A$ denote the splitting field of $x^n-1$ over $\mathbb{Q}$, so what is the dimension of $A$ as a linear space over $\mathbb{Q}$? (in this question, $n$ is a positive integer)

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    It is $\Phi(n)$ where $\Phi$ is the Euler $\Phi$-function.2011-09-13
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    See this previous question: [Splitting field of $x^n-1$ over $\mathbb{Q}$][1] [1]: http://math.stackexchange.com/questions/24056/splitting-field-of-xn-1-over-mathbbq2011-09-13

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