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Exercise in Algebra 2

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First of all, maaf post soalnya memakai bahasa Inggris (mungkin aneh juga soalnya kurang familiar). Kurang biasa juga sama bahasa Indonesianya.


Let $p$ be a prime number. For a natural number $N$, prove that the field extension $F_{p^N}$/$F_p$ is a Galois extension. Also, calculate the Galois group.

Edited by Livesky

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