( cross-posted in Mathematics SE )
implement a group action in Sage ( for educational purposes )?
Let S= {"A","B","C","D"} and S4= SymmetricGroup(4). I want to create a table of
the action S4 x S -> S which standardly permutes the letters in the set. The
table should look like:
Permutation. A. B. C. D
() A. B. C. D
(1 2 ) B. A. C. D.
etc.
How can this be done with Sage? ( The Set and Group in the question are just
examples, I want to be able to create a table for any action.| i
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