Everything about Symmetric Group totally explained
In
mathematics, the
symmetric group on a
set X, denoted by S
X or Sym(
X), is the
group whose underlying set is the set of all
bijective functions from
X to
X, in which the group operation is that of
composition of functions, for example, two such functions
f and
g can be composed to yield a new bijective function
, defined by
for all
x in
X. Using this operation, S
X forms a group. The operation is also written as
fg (and sometimes, although not here, as
gf).
Finite symmetric groups
Of particular importance is the symmetric group on the finite set
» X = (S_6)=S_6
times C_2.
Further Information
Get more info on 'Symmetric Group'.
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