An orbit is a set that indicates a complete path from one element in the primary set to its appearance in .
Example
With primary set ,
With permuted
Then, we get orbits
From our orbits, we can describe the Permutation Notation of the set
An orbit is a set that indicates a complete path from one element in the primary set S to its appearance in σ(S).
With primary set S={1,2,3,4,5,6,7,8},
With permuted σ(S)={3,2,5,6,1,4,8,7}
Then, we get orbits {{1,3,5},{2},{4,6},{7,8}}
From our orbits, we can describe the Permutation Notation of the set σ(S)=(135)(46)(78)