The method representative_action() for Sage permutation groups erroneously 
returns the identity element when it actually should either fail or return 
something which makes clear if no  representative exists. The corresponding 
method for libgap groups behaves as expected:

sage: g = PermutationGroup([[(1, 2)], [(3, 4)]])
sage: g.representative_action(1, 3)
()
sage: libgap(g).RepresentativeAction(1, 3)
fail

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