On 2012-07-25 09:10, David Loeffler wrote:
> The hard question is to compute a defining
> polynomial for the splitting field of f, identify all the roots of f
> as elements of that field, and determine each element of the Galois
> group in terms of how it acts on a single generator of the splitting
On 25 July 2012 00:30, Justin C. Walker wrote:
> While looking through Stein's "Three Lectures" paper, I tried the examples
> in \S 2.1.1. In particular, the last item, computing the order of the cubic
> field's Galois group (72) seems to be straightforward when looking at the
> paper. When I tr
While looking through Stein's "Three Lectures" paper, I tried the examples in
\S 2.1.1. In particular, the last item, computing the order of the cubic
field's Galois group (72) seems to be straightforward when looking at the
paper. When I tried this in Sage 5.1, the computation twiddles away f