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.
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.
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