Let G be a group with a finite number of elements. Show that for any a in G, there exists an n in the positive integers such that a^n = e.
The hint is to consider e, a, a^2, a^3, ...., a^m, and use the cancellation laws. Thanks
Let G be a group with a finite number of elements. Show that for any a in G, there exists an n in the positive integers such that a^n = e.
The hint is to consider e, a, a^2, a^3, ...., a^m, and use the cancellation laws. Thanks