- #1

- 1,456

- 44

## Main Question or Discussion Point

I am told that ##\varphi_g (x) = g x g^{-1}## is a group action of G on itself, called conjugacy. However, I am a little confused. I thought that a group action was defined as a binary operation ##\phi : G \times X \rightarrow X##, where ##G## is a group and ##X## is any set. However, this ##\varphi_g## is just a normal function ##\varphi_g : G \rightarrow G##. If this is not a binary operation, how is it a group action?

Last edited: