Abstract Algebra question

  • #1
PhysicsUnderg
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Homework Statement


Let G be a group with pk 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. :-)
 

Answers and Replies

  • #2
micromass
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Hi PhysicsUnderg! :smile:

Take an element g of G. What is the order of g?
 

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