# Prove that p-group of order p^n is not simple

## Homework Statement

Show that, for p prime and n greater than or equal to 2, that every group of order Pp^n is not simple.

N/A

## The Attempt at a Solution

Hint given regarding the center. I know that the center is not trivial, but I guess I have to show that the center is not the entire group...so the center (which obviously is a subgroup of p^n) is a non-trivial normal subgroup?

Edit: LaTex doesn't work here, sad.

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