On Sat, Oct 3, 2009 at 8:07 PM, Rob Beezer <goo...@beezer.cotse.net> wrote:
>
> On Oct 3, 6:05 pm, William Stein <wst...@gmail.com> wrote:
>> And this has already been almost completed by David Loeffler based
>> on work by me.  http://trac.sagemath.org/sage_trac/ticket/6449
>
> The work at #6449 creates additive abelian groups by extending the
> class for finitely-generated modules over ZZ.  Assuming that approach,
> is there a natural way to get all the subgroups?

I don't think so.  I have a hazy recollection that maybe a book by
Henri Cohen on explicit class field theory has such an algorithm
nicely described...

>  If so, I'm not
> seeing it.  Or would David Loeffler's routine for all subgroups of a
> multiplicative abelian group need to be translated to the additive
> version?

Probably the latter.

David Loeffler might want to comment, since I cc'd him.


>
> Rob
> >
>



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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