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 March 9th, 2014, 04:22 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
 March 9th, 2014, 04:41 AM #2 Newbie   Joined: Mar 2014 Posts: 4 Thanks: 0 Re: conjugates of a polynomial There is a mistake in the link in this post. Please, see the most recent post with the same subject. (hope this post will be deleted).
 March 11th, 2014, 04:00 AM #3 Newbie   Joined: Mar 2014 Posts: 4 Thanks: 0 Re: conjugates of a polynomial In fact, the correct link has moved to https://upload.wikimedia.org/wikipedia/ ... -07-12.pdf (pp. 5-6).

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