(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Does every group whose order is a power of a prime p contain an element of order p?

2. Relevant equations

3. The attempt at a solution

I know it certainly can contain an element of order p. I also feel that

|G|=|H|[G] might be useful. Any help is appreciated!

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# Homework Help: Groups whose order is a power of a prime

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