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: Element order proof, need help!

  1. Apr 3, 2010 #1
    1. The problem statement, all variables and given/known data

    If |a^2|=|b^2|, prove or disprove that |a|=|b|.

    2. Relevant equations
    |x| means the order of the element x.

    3. The attempt at a solution
    Let consider the group Z20. |a^2|=|b^2| when a = 2 and b = 4 (since the order of 4 and 8 are both 5 in z20). But |2| does not equal the order of 4 in Z20. But I know that this is not enough, due to that the problem, does not give us anything about the group or the elements of the group. Plus I think I am certain that i need to generalize more instead of giving just one example. If anyone got any advice for me on this, it would be great.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted