Symmetric group
Revision as of 20:42, 13 March 2008 by Lowtopology (talk | contribs)
The symmetric group 
is defined to be the group of all permutations of 
objects. Knowledge of the general symmetric group $S_{n} is crucial in such areas as Galois Theory, including proving that equations of degree 5 and higher are unsolvable through the use of elementary arithmetic and root extractions.
