[GAP Forum] Galois group

[Bill Allombert]

On Mon, Dec 06, 2004 at 11:20:10AM +0100, Guillermo MORENO-SOCIAS wrote:
>    Hello.
>    This is my first posting, please tell me if anything is wrong.
>    I am not (yet) familiar with Gap4.  I have the following question
> from a friend:  How to compute the Galois group of X^8-2?  It seems to
> be an order 16 group, but which one?  It is not D_8.

I don't know if you can compute it with GAP4, but with PARI/GP
polgalois() function you get that the Galois group is
TransitiveGroup(16,8) a.k.a (2x4).2

Cheers,
Bill.