Jeroen Demeyer on Tue, 13 Dec 2005 10:32:02 +0100

[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]

Splitting fields

Hello list,

Suppose I have given an irreducible polynomial f(x) in Z[x].
I want to use PARI/GP to find the splitting field (as a nf) of this polynomial, i.e. the smallest field containing *all* roots of f(x).

The problem is that Q[x]/f(x) is not equal to the splitting field if it's not Galois. For instance, the splitting field of x^3 - 2 has degree 6.

Is there a way to do this?