1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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
    Hi PhysicsUnderg! :smile:

    Take an element g of G. What is the order of g?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook