On May 30, 2010, at 3:33 PM, Jason B Hill wrote:


Sweet!

I'm assuming you're using a dictionary map? I think this could kill two birds with one stone. If we want to make Sage act more like GAP and consider the domain of a permutation group to be the collection of non-fixed points

To clarify, are you talking just about the case where a group it constructed from a set of generators, or are you considering having every construction figure out the set of fixed points and throw them away? The former sounds fine, but I don't like the latter.

(I think we should consider subgroups separately), then even in the case when the generators contain integers, those integers could be dictionaried (I think that's a word) into a compacted list of integers. In that situation, 99% of the existing methods could be used.

I have some things to add to the subgroup discussion from farther up, and I'll be back from vacation on Wednesday. Unfortunately, this will be my last computer access until then. :-(

Jason B. Hill





On Sun, May 30, 2010 at 3:46 PM, Mike Hansen <mhan...@gmail.com> wrote: On Fri, May 21, 2010 at 5:58 PM, Jason B Hill <jason.b.h...@colorado.edu > wrote:
> Can we get a list together of all of those who may be interested in
> contributing to the rewrite of permutation groups on some level? We can move
> to an in-depth discussion and inventory. I don't want to flood the
> sage-devel list with too much, unless there are those who think the
> discussion should remain here.

I've been working on this over the next few days, cleaning up the
code, and making permutation groups act over an "arbitrary" domain.
I'll be posting these in the next few days.

--Mike

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