On Wed, Feb 25, 2009 at 4:34 PM, Rob Beezer <goo...@beezer.cotse.net> wrote:
>
> Francisco,
>
> When I work with undergraduate students, I stick to permutation groups
> in Sage since they are more concrete.  When you compute a quotient
> group what you get back is a permutation group that is isomorphic to
> the quotient, e.g.
>
>
> G=SymmetricGroup(5)
> H=AlternatingGroup(5)
> G.quotient_group(H)
>
>   Permutation Group with generators [(1,2)]
>
>
> It would be nice to be able to (optionally) work with the actual
> cosets as elements of the quotient group.  I thought I saw recently
> that right cosets may have been implemented, but I can't find that
> right now.  David, or somebody else, might know the current state of
> that.  I know GAP will produce right cosets.


I agree that would be a nice project too. It is not yet implemented in Sage, as
far as I can see, except via GAP.


>
> This won't be a semester-long project, but it might be a good bite-
> size warmup over the summer to practice with Sage internals, the Gap
> interface, the development process, etc.  And it would be useful for
> other students like yourself to be able to experiment with a more
> concrete version of the quotient group when they are new to the
> subject.
>
> Rob
>
>
>
> >
>

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