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For a finite set , a cyclic permutation on is a permutation such that the induced group homomorphism from the integers to the automorphism group (i.e. the symmetric group) of , sending to , defines a transitive action.
One may visualize the elements of as points arranged on a circle spaced equally apart, with the next-door neighbor of in the counterclockwise direction, hence the name.
See also rotation permutation.
See also:
Last revised on April 18, 2021 at 16:19:27. See the history of this page for a list of all contributions to it.