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Re: Galois group of a quartic over Q
Posted:
Dec 28, 2007 4:11 PM


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.



