Hi list
I have given an Ideal I in the polynomial ring R and I need to know the
minimal group G wich acts on I such that I is the Invariant Ring of R
under the action of G.
for example:
let R =  CC.<x1,x2,x3>,
I the ideal generated by
<x1^3, x2^3, x3^3>

let G \subset SL_3(CC) act by a e_i -> a x_i. If xi is a third primitive
root of unity, then G must be generated by
diagonalmatrix(xi,xi,xi).

Is there a easy way to calculate G from I with Sage?

greatz Johannes

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