\begin{definition}[Definition:Ambivalent Group]
Let $G$ be a group.
Then $G$ is '''ambivalent''' {{iff}} 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, {{iff}} every element of $G$ is real.
\end{definition}