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• Oct 9th 2008, 05:38 PM
mandy123
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If p is an odd prime, prove that there is no group that has exactly p elements of order p
• Oct 9th 2008, 06:04 PM
ThePerfectHacker
Quote:

Originally Posted by mandy123
If p is an odd prime, prove that there is no group that has exactly p elements of order p

The number of solutions to the equation $x^p = e$ is a multiple of $p$.
Thus?