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## Homework Statement

Let G be a group with p

^{k}elements, where p is a prime number and k is greater than or equal to 1. Prove that G has a subgroup of order p.

## The Attempt at a Solution

I attempted to prove this by showing that the conditions for a set to be subgroup form a subgroup of order p. I have become lost, however, in my proof. Any direction would be helpful. :-)