Hi guys,

I've been asked to prove the following:

Prove that every group whose order is a power of a prime contains an element of order .

This is the proof I've come up with. I feel like it is really long and contrived. The only tools that I have at my disposal is LaGrange's Theorem and the associated corollaries.

http://img714.imageshack.us/img714/4...10210at124.png

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