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  3. 3. show that the galois group of (x2 − 3)(x2

3. Show that the Galois group of (x2 − 3)(x2 + 3) over Q is isomorphic...

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Advance Math

3. Show that the Galois group of (x2 −3)(x2 + 3) over Q is isomorphic to Z2 ×Z2.

4. Let p(x) be an irreducible polynomial of degree n over afinite field K. Show that its Galois group over K is cyclic oforder n.

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4.2 Ratings (551 Votes)
Proof 3There is a factorization which implies that the splitting field ofisSinceit follows that is a group of order There    See Answer
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