Symmetric group ↩

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created: 2021-12-21 20:27:26
modified: 2022-01-10 04:13:04

The symmetric group defined over any set is the group whose elements are all the bijections from the set to itself and whose group operation is the composition of these functions.

For a finite set of elements: the set of all permutations that can be done on the set of elements. In this case the order of the symmetric group is .