#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 | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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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.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13879>
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