Can anyone explain the idea behind Hadlock's proof that there is an Sn for every poly of degree n? Theorem 37 page 217(adsbygoogle = window.adsbygoogle || []).push({});

I can follow how to build up G from F using symmetric functions and the primitive element theorem. A lso I get the idea of constructing a poly of deg n! from one of deg n. But he starts with rationals beta1 etc to make G irreducible and I don't see the connection back down to F.

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# Gen Poly has Sn group Hadlock

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