C2 - symmetry groups

symmetry group of degree

n

let $A = {1, 2, \dots, n}$ , then $(sym (A), \circ) =: S_{n}$ is the symmetry group of degree $n$

α = [\begin{matrix} 1 & 2 & \dots & n \\ α (1) & α (2) & \dots & α (n \end{matrix}]

ϵ = [\begin{matrix} 1 & 2 & \dots & n \\ 1 & 2 & \dots & n \end{matrix}]