Homework Statement
Given field extension C of Q, Find the minimal polynomial of a=sqrt( 5 + sqrt(23) ) (element of C).Homework Equations
The Attempt at a Solution
I may be complicating things, but let me know if you see something missing.
Doing the appropriate algebra, I manipulated the above...
Homework Statement
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.
Homework Equations
The Attempt at a Solution
The only hint I have is to consider action of G on itself by conjugation.