#12339: Free Groups
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Reporter: mmarco | Owner: joyner
Type: enhancement | Status: needs_review
Priority: minor | Milestone:
Component: group theory | Resolution:
Keywords: free groups | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Miguel Marco | Merged in:
Dependencies: | Stopgaps:
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Comment (by rbeezer):
Replying to [comment:26 jhpalmieri]:
> I would suggest replacing `size` with `cardinality`.
Can we have `order` as an alias for `cardinality()` in the case of groups?
It seems totally foreign to '''not''' have it.
> The .gap method seems to work okay, although I haven't tested it very
thoroughly. From looking at other files in sage/groups/, it looks like you
should instead implement both `G._gap_()` (to return the GAP object
corresponding to G) and `G._gap_init_()` (to return the string
representation of the corresponding GAP object). But I'm not sure about
this: maybe you only need one of these methods. Anyway, if you do it
right, then `gap(G)` will return the GAP version of G.
I've only just figured out some of this in the last 48 hours as I have
been building an automorphism group of permutation groups. I think that
if `_gap_init_()` returns a string which would cause GAP to create the
desired object, then everything else, like `_gap_()` for sure, and I'd
guess `gap()` as well, just seems to come along for the ride.
`gap.eval(<command>)` outputs strings you can save/manipulate to use as
return values for `_gap_init_()`.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12339#comment:27>
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