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: 12 years ago
Seen: 948 times
Last updated: Jun 23 '12