#14291: Orbits of tuples and sets
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Reporter: ncohen | Owner: joyner
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.9
Component: group theory | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Nathann Cohen | Merged in:
Dependencies: | Stopgaps:
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Comment (by dimpase):
There are more useful permutation group actions, see http://www.gap-
system.org/Manuals/doc/ref/chap41.html
Namely, {{{OnPairs, OnSetsSets, OnSetsDisjointSets, OnSetsTuples,
OnTuplesSets, OnTuplesTuples}}} all should work just fine.
One has to canonize the representative to start with, for some of them,
[http://www.gap-system.org/Manuals/doc/ref/chap41.html#X82181CA07A5B2056
see here]. E.g.
{{{
Orbit(SymmetricGroup(5),Set([[2,4],[1,3]]),OnSetsSets);
}}}
is OK, but
{{{
Orbit(SymmetricGroup(5),[[2,4],[1,3]],OnSetsSets);
}}}
gives an error.
Less sure about {{{OnIndeterminates}}}.
There is also a support for user-defined actions, but this would mean
either specifying a piece of GAP code, or providing a callback, which
seems to be too crazy to implement.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14291#comment:4>
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