[sage-support] Re: Setting up K^*/(K^*)^2 as a group

2008-05-28 Thread John Cremona
Well, everything you need for that is (as far as I know) in Magma. If something you need is not, ask Magma! John 2008/5/28 [EMAIL PROTECTED] <[EMAIL PROTECTED]>: > > Yes this is descent i'm looking to use it in. > > Many thanks, > Frank > > > On May 28, 9:00 pm, "John Cremona" <[EMAIL PROTECTED]

[sage-support] Re: Setting up K^*/(K^*)^2 as a group

2008-05-28 Thread [EMAIL PROTECTED]
Yes this is descent i'm looking to use it in. Many thanks, Frank On May 28, 9:00 pm, "John Cremona" <[EMAIL PROTECTED]> wrote: > Finite fields would be rather easy -- especially in characteristic 2! > > John > > 2008/5/28 [EMAIL PROTECTED] <[EMAIL PROTECTED]>: > > > > > Particularly number fiel

[sage-support] Re: Setting up K^*/(K^*)^2 as a group

2008-05-28 Thread John Cremona
Finite fields would be rather easy -- especially in characteristic 2! John 2008/5/28 [EMAIL PROTECTED] <[EMAIL PROTECTED]>: > > Particularly number fields. But if this could be done for more general > fields then even better:) > > Cheers > > > On May 28, 8:43 pm, "William Stein" <[EMAIL PROTECTE

[sage-support] Re: Setting up K^*/(K^*)^2 as a group

2008-05-28 Thread [EMAIL PROTECTED]
Particularly number fields. But if this could be done for more general fields then even better:) Cheers On May 28, 8:43 pm, "William Stein" <[EMAIL PROTECTED]> wrote: > On Wed, May 28, 2008 at 12:35 PM, [EMAIL PROTECTED] > > <[EMAIL PROTECTED]> wrote: > > > Hello, I'm stuck trying to do somethi

[sage-support] Re: Setting up K^*/(K^*)^2 as a group

2008-05-28 Thread John Cremona
It does rather depend on what sort of field you mean! When K is a number field, of course K*/K*^2 is obviously infinte, but Magma's function pSelmerGroup() (with p=2) allows you to define finite subgroups of it unramified outside finite sets of primes. This is heavily used in descent on elliptic

[sage-support] Re: Setting up K^*/(K^*)^2 as a group

2008-05-28 Thread William Stein
On Wed, May 28, 2008 at 12:35 PM, [EMAIL PROTECTED] <[EMAIL PROTECTED]> wrote: > > Hello, I'm stuck trying to do something in MAGMA (sorry but the > support on that front seems to be lacking). Having a field K, i'm > trying to set up K^*/(K^*)^2 with some sort of structure. > > Thanks and apologie