Study on the splitting field of p(x) = x4–2 over Q in the following questions: 4) (15 points) Find all elements of G =Ga

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Study On The Splitting Field Of P X X4 2 Over Q In The Following Questions 4 15 Points Find All Elements Of G Ga 1 (28.89 KiB) Viewed 24 times

Study on the splitting field of p(x) = x4–2 over Q in the following questions: 4) (15 points) Find all elements of G =Gal K by giving the action of o E G on set {u, i} where u = 72. (Note that you need 1. to find |G| using theorem 12.11, 2. list possible images of o(u) and o(i) and explain why.) =