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Abstract Algebra- Conjugate Problem

  1. Apr 15, 2013 #1
    1. The problem statement, all variables and given/known data
    Let G be a group of odd order, and a an element of G (not identity). Show that a and a^-1 are not conugate.


    2. Relevant equations



    3. The attempt at a solution
    The only hint I have is to consider action of G on itself by conjugation.
     
  2. jcsd
  3. Apr 15, 2013 #2

    tiny-tim

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    welcome to pf!

    hi corky23! welcome to pf! :smile:
    ok, then start by giving us your thoughts on that :wink:
     
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