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Is $\mathbb Q(\pi,i\pi):\mathbb Q$ a simple extension?

  • 0
    Any finite extension of $\mathbb{Q}$ is a simple extension. See the primitive element theorem.2011-03-16
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    @Joseph: I believe this theorem speaks about algebraic extensions, which is clearly not the case here.2011-03-16
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    Oops, didn't read the question closely. I'll leave the comment so others can see my shame.2011-03-16

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