##  [Symmetric Group](/symmetric-group) 

  ##  [Symmetric Group](https://algebra.quantumdictionary.io/symmetric-group-0) 

  

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**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The Symmetric Group S_n is the permutation group consisting of all bijections of an n-element set, with group order n! and composition as the operation; it is the full automorphism group of a discrete n-point set.