Wednesday, 25 March 2015

abstract algebra - Multiplication table of a Galois group?

I'm looking at the polynomial x44x2+16. I know that its roots are
1±3 and so its normal field extension is Q(i,3).



However, I am also asked to give a multiplication table for the Galois group. What will that look like? What will be its rows and columns?)




(I am practicing for an exam)

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