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Abstract Algebra- Conjugate Problem

  • Thread starter corky23
  • Start date
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.
 

tiny-tim

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welcome to pf!

hi corky23! welcome to pf! :smile:
The only hint I have is to consider action of G on itself by conjugation.
ok, then start by giving us your thoughts on that :wink:
 

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