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symmetric group
Author: Marian Olejar, Jr. Created: Dec/07/2006 Last edit: Dec/07/2006
group theory:
The family of all the permutations of a set X is called the symmetric group on X. It is usually denoted as `S_X`. When X = {1, 2, . . . , n}, `S_X` is usually denoted by `S_n`, and it is called the symmetric group on n letters. Cite this article as: Marian Olejar, Jr.: symmetric group from VeryPrime's Dictionary of mathematics Link to this page: http://www.veryprime.com/dict/symmetric_group.php |