Concept information
Preferred term
symmetric group
Definition
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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
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In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-CTG7HR06-2
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