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Topic: Galois group of a quartic over Q
Replies: 4   Last Post: Dec 29, 2007 5:32 AM

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Registered: 6/3/05
Re: Galois group of a quartic over Q
Posted: Dec 28, 2007 4:11 PM
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On Dec 28, 12:37 pm, "I.M. Soloveichik" <ims...@sbcglobal.net> wrote:
> All subgroups of order 8 are conjugate in S_4 by Sylow's Theorem and hence also isomorphic.

My question was how can I show the splitting field is of degree 8
under the assumption that b and b(a^2 - 4*b) are not squares in Q.
Sorry if I was clear enough.

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