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abstract algebra question
Posted:
Sep 14, 2010 6:42 PM


Trying to solve the following: Let G be a group with a finite number of elements. SHoe that for any a belonging to G, there exists n belonging to the positive integers such that a^n=e (identity element). [Hint: consider e,a,a^2, a^3.....a^m where m is the number of elements in G , and use the cancelation laws.]
Any suggestions welsome, this is a new subject to me.



