Generating a splitting field
Suppose I have a set of polynomials S in K[x] where K = Q(a), some number field. How could I generate a field which is the splitting field of all the polynomials in S?
Suppose I have a set of polynomials S in K[x] where K = Q(a), some number field. How could I generate a field which is the splitting field of all the polynomials in S?
Is this a homework question, or a Sage question? I think if you understand how you construct such a field in theory you will be able to figure out how to construct what you want in Sage by reading the manual.
Asked: 2012-06-19 01:33:33 -0600
Seen: 179 times
Last updated: Jun 22 '12
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