- #1

PhysicsUnderg

- 19

- 0

## 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. :-)