Let be a set. Let be the set of permutations of (i.e. the set of bijective functions from to itself). Then the act of taking the composition of two permutations induces a group structure on . We call this group the symmetric group.
The group is often denoted or .
is generated by the transpositions , and by any pair of a 2-cycle and -cycle.
|Date of creation||2013-03-22 12:01:53|
|Last modified on||2013-03-22 12:01:53|
|Last modified by||bwebste (988)|