Let A be a set and let S A For a fixed a A, the set O a. - = {

Let A be a set and let σ ∈ S_A· For a fixed a ∈ A, the set 

O_a.σ- = {σⁿ(a) |n ∈ Z}

is the orbit of a under σ. Find the orbit of 1 under the permutation defined prior to Exercise 1.

τ

Data Prior to Exercise 1.

1 3 2 3 4 5 6 4 5 6 2 14 1 = 1 2 3 4 5 6 2 4 1 3 6 5 2 1 5 2 3 4 5 6 24 6). 3 31 16