Generalized symmetric group

In mathematics, the generalized symmetric group is the wreath product S ( m , n ) := C m ≀ S n {\displaystyle S(m,n):=C_{m}\wr S_{n}} of the cyclic group of order m and the symmetric group of order n. == Examples == For m = 1 , {\displaystyle m=1,} the generalized symmetric group is exactly the ordinary symmetric group: S ( 1 , n ) = S n .

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