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Well, this is sort of a known problem.. https://trac.sagemath.org/ticket/14885
There is something for permutations:
sage: Permutations.options(mult='r2l',display='cycle')
sage: a=Permutation([(1,2),(3,)]);a
(1,2)
sage: b=Permutation([(2,3),(1,)]);b
(2,3)
sage: a*b
(1,2,3)
But this does not seem to be available for SymmetricGroup.
