- #1
Dixanadu
- 254
- 2
Hey guys!
Basically, I was wondering how to prove the following statement. I've seen it in the Hamermesh textbook without proof, so I wanted to know how you go about doing it.
Let's say you have a group element [itex]g_{1}[/itex], which has a corresponding inverse [itex]g_{1}^{-1}[/itex]. Let's also define a linear transformation D for this group element.
So what I am trying to prove is that
[itex]D(g_{1}^{-1}) = [D(g_{1})]^{-1} [/itex]
Can u guys point me in the right direction?
Thanks!
Basically, I was wondering how to prove the following statement. I've seen it in the Hamermesh textbook without proof, so I wanted to know how you go about doing it.
Let's say you have a group element [itex]g_{1}[/itex], which has a corresponding inverse [itex]g_{1}^{-1}[/itex]. Let's also define a linear transformation D for this group element.
So what I am trying to prove is that
[itex]D(g_{1}^{-1}) = [D(g_{1})]^{-1} [/itex]
Can u guys point me in the right direction?
Thanks!