#13879: Allow the computation of orbits on tuples and sets
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Reporter: azi | Owner: joyner
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.6
Component: group theory | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Description changed by ncohen:
Old description:
> It is often useful to consider the group action of a permutation group G
> acting in the natural way on sets and tuples of the original point set.
>
> For example we need this thing in the graph theory module for testing
> edge/arc-transitivity of graphs. Since there is currently no way to do
> this directly in sage we use a (ugly) hack and call gap directly as
>
> {{{
> gap("OrbitLength("+str(A._gap_())+"," + str(e) + ",OnTuples);")
> }}}
>
> it would be nice if somehow we could implement the Orbit and Orbits
> method of permutation groups to handle these actions as well.
>
> I believe the patch to be quite simple but would like to hear what you
> guys think and suggest before considering to implement it myself.
New description:
It is often useful to consider the group action of a permutation group G
acting in the natural way on sets and tuples of the original point set.
For example we need this thing in the graph theory module for testing edge
/arc-transitivity of graphs (#13721). Since there is currently no way to
do this directly in sage we use a (ugly) hack and call gap directly as
{{{
gap("OrbitLength("+str(A._gap_())+"," + str(e) + ",OnTuples);")
}}}
it would be nice if somehow we could implement the Orbit and Orbits method
of permutation groups to handle these actions as well.
I believe the patch to be quite simple but would like to hear what you
guys think and suggest before considering to implement it myself.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13879#comment:1>
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