1. ## Permutation of groups

Let z := (1832)(6745). For which u ∈ {x, y} is there an element σ ∈ G such that
σ^−1◦ z ◦ σ = u. If such a σ exists, then ﬁnd one.

thanks..

2. Originally Posted by qwerty1234
Let z := (1832)(6745). For which u ∈ {x, y} is there an element σ ∈ G such that
σ^−1◦ z ◦ σ = u. If such a σ exists, then ﬁnd one.

thanks..
What is {x, y}?