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how to act group element on a set

How to act group element on set? For example, the set is s A={1, 2} and the group is SymmetricGroup(3). I would like to calculate the output put each permutation map of elements of Symmetric Group so that I can calculate normaizer and stablizer.

how to act group element on a set

How to make group act group element on set? For example, the set is s A={1, 2} and the group is SymmetricGroup(3). I would like to calculate the output put each permutation map of elements of Symmetric Group so that I can calculate normaizer and stablizer.

how to act group element on a set

How to make group act on set? For example, the set is s A={1, 2} and the group is SymmetricGroup(3). I would like to calculate the output put each permutation map of elements of Symmetric Group so that I can calculate normaizer and stablizer.