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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- Sep 14th 2009, 11:18 AMkrohrs311GROUP problem please help??
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 :) - Sep 14th 2009, 11:39 AMSwlabr