Show that is irreducible over

Printable View

- Apr 13th 2009, 03:52 AMZetaXIrreduclible polynomials
Show that is irreducible over

- Apr 13th 2009, 12:04 PMNonCommAlg
- Apr 13th 2009, 02:32 PMZetaX
No this is correct, it is irreducible, that is what I am suppose to show.

- Apr 13th 2009, 03:08 PMNonCommAlg
- Apr 14th 2009, 05:47 AMZetaX
I have that

is irreducible over rationals, and its galois group is

And M is the splitting field of

and I have that

is a quadratic subfield of M. - Apr 14th 2009, 11:07 AMThePerfectHacker
I think that

**ZetaX**is referring to this thread. In that thread he asks that given that is irreducible over with Galois group then show that the three quadradic extensions (we know there has to be three since has three subgroups of index ) are: . He is asking to complete that solution. - Apr 14th 2009, 11:23 AMZetaX
I am not asking to complete this but the question I am asking is continuation of this.