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**selenne431** Suppose $\displaystyle G$ is the Galois Group over $\displaystyle \mathbb{Q}$ of **one **of the polynomials:

i) $\displaystyle x^{11}-1$

ii)$\displaystyle x^4-2$

For your choice of polynomial, find the generators of the splitting field $\displaystyle E$ over $\displaystyle \mathbb{Q}$ and describe the elements of G by their effect on these generators. Finally, describe the group by generators and relations.

I just need to do one of the polynomials above and I am just beginning to learn Galois Theory, so I don't understand how to do this. I guess I need a good head start on how to solve this problem. Thanks.