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Abstract Algebra question

  1. Jul 8, 2011 #1
    1. The problem statement, all variables and given/known data
    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.


    3. 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. :-)
     
  2. jcsd
  3. Jul 8, 2011 #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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