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 March 9th, 2014, 04:25 AM #1 Newbie   Joined: Mar 2014 Posts: 4 Thanks: 0 conjugates of a polynomial Hi, I think I have proved the following theorem, but I'm not sure. I would greatly appreciate some comments, and also a reliable source about this theorem or something close to it (I imagine that something like this has already been proved). "Let f be an irreducible polynomial over a field K, and assume that g divides f in some extension of K. Let M be the splitting field of f over K, and L be the field generated by the coefficients of g over K (so K

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