Dear forum,
suppose you have a group acting on a set. The orbitals are the orbits
on ordered pairs of elements of that set, and their number
can be computed in GAP using
RankAction(groupname,setname);
But I would like to know if these orbitals are self-paired, i.e. that
(x1,x2) and (x2,x1) are always in the same orbit.
What is the easiest way to check this?
More generally, I would like to check if the permutation character is at
least multiplicity-free.
Many thanks,
Kind regards,
Frédéric
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