Hello,
I have yet another question on (equivalent) group actions.
When I build an action on a set, is there way to have GAP store a
bijection between the original points on which he acts, and the labels
[1..v]?
For instance, when I do:
G:=SymmetricGroup(4);
g:=AutomorphismGroup(G);
act:=Action(g,G,OnPoints);
Orbits(act);
the output in the end is:
[ [ 2, 7, 5, 21, 16, 13 ], [ 3, 11, 6, 9, 20, 4, 17, 14 ],
[ 8, 24, 23, 15, 10, 18 ], [ 12, 22, 19 ] ]
while elements of G itself look like (1,4)(2,3), and I would want the
orbits in that form.
(This is just an example, I had other more complicated sets in mind)
Kind regards,
Frédéric
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