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Fundamental Theory of Arithmetic

Quick practice

Question 1 of 5

Let F be a finite field and let K/F be a field extension of degree 6. Then the Galios group of K/F is isomorphic to

A

The cyclic group of order 6.

B

\{\mathrm{e}\}

C

\mathrm{S}_{3}

D

\mathrm{S}_{6}

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