Skip to main content

Mathematics (thesaurus)

Search from vocabulary

Concept information

algebra > combinatorics > permutation > symmetric group

Preferred term

symmetric group  

Definition

  • In abstract algebra, 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 functions. In particular, the finite symmetric group defined over a finite set of symbols consists of the permutations that can be performed on the symbols. Since there are ( factorial) such permutation operations, the order (number of elements) of the symmetric group is .
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Symmetric_group)

Broader concept

Narrower concepts

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-CTG7HR06-2

Download this concept:

RDF/XML TURTLE JSON-LD Created 8/18/23, last modified 8/18/23