- #1
kathrynag
- 598
- 0
Homework Statement
Let G be any group and let a be a fixed element of G. Define a function [tex]c_{a}[/tex]:G-->G by [tex]c_{a}[/tex](x)=ax[tex]a^{-1}[/tex] for all x in G. Show that c is an isomorphism
The Attempt at a Solution
Need to show 1-1, onto and c(ab)=c(a)c(b)
I guess my biggest problem is starting because I get to c(a)=c(b) for 1-1 and don't know what c(a) is.