Use:
Now, apply the induction hypothesis.
Fernando Revilla
prove by induction that for elements x and g of a group,
(x^-1.g.x)^n=x^-1.g^n.x
My working.
I've done the easy parts, showing true for n=1, assuming true for n=k but now given that, I need to show true for n=k+1.
I worked with LHS, expanding the braket and trying to manpiulate to get an expression I already knew but I'm pretty stumped.
Thanks for any help.
Use:
Now, apply the induction hypothesis.
Fernando Revilla
You needn't apply commutativity:
Fernando Revilla
Of course you can. Use the associative property and .
Fernando Revilla