Definition:Ambivalent Group

Definition
Let $G$ be a group.

Then $G$ is ambivalent every element of $G$ is conjugate to its inverse:
 * $\forall g \in G : \exists h \in G : h g h^{-1} = g^{-1}$

That is, every element of $G$ is real.

Also see

 * Definition:Real Group Element