Re: [math-fun] Groups with exactly two conjugacy classes

On Mon, 5 Feb 2007, Eugene Salamin wrote:

Can some give an example of a group having exactly two conjugacy classes, other than the group with two elements? Necessarily, the non-identity class consists of elements of infinite order.

See: http://www.math.niu.edu/~rusin/known-math/95/finite.conj