Definition:Cycle Decomposition

Definition
Let $n$ be a natural number.

Let $S_n$ denote the symmetric group on $n$ letters.

Let $\pi$ be a permutation on $S_n$.

The cycle decomposition of $\pi$ is the product of the disjoint cycles in which $\pi$ can be expressed.

Also see

 * Existence and Uniqueness of Cycle Decomposition


 * Definition:Cycle Type