I don't know where to get started with this one.

Prove that $\displaystyle \mathbb{F}_p(x,y)/\mathbb{F}(x^p,y^p)$ is not a simple extension by explicity exhibiting an infinite number of intermediate subfields.

Thanks TES

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- Jun 2nd 2009, 07:47 PMTheEmptySetnot a simple extention
I don't know where to get started with this one.

Prove that $\displaystyle \mathbb{F}_p(x,y)/\mathbb{F}(x^p,y^p)$ is not a simple extension by explicity exhibiting an infinite number of intermediate subfields.

Thanks TES