# Thread: Conjugacy Classes in A_n

1. ## Conjugacy Classes in A_n

Let $\displaystyle n$ be odd. Show that the set of all $\displaystyle n$-cycles in $\displaystyle A_n$ consists of two conjugacy classes (in $\displaystyle A_n$) of equal size.

2. Originally Posted by syme.gabriel
Let $\displaystyle n$ be odd. Show that the set of all $\displaystyle n$-cycles in $\displaystyle A_n$ consists of two conjugacy classes (in $\displaystyle A_n$) of equal size.