# Math Help - infinite cycles in Sym(N)

1. ## infinite cycles in Sym(N)

I need an example of two infinite cycles in Sym(N) which are not conjugate.(N is the set of natural numbers)

2. ## Re: infinite cycles in Sym(N)

I'm also interested in how you classify conjugancy classes on infinite cycles.

3. ## Re: infinite cycles in Sym(N)

Two permutations $x,y \in Sym(\Omega)$ are conjugate in $Sym(\Omega)$ iff they have the same number of cycles of each type (including 1-cycles).