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
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Originally Posted by krohrs311 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 HINT: for some , because we are in a finite group.
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