Definition:Conjugacy Action

Definition
Let $\left({G, \circ}\right)$ be a group whose identity is $e$.

Let $*$ be the group action on $G$ defined by the rule:
 * $\forall g, h \in G: g * h = g \circ h \circ g^{-1}$

Then $*$ is referred to as the conjugacy action.

Also see

 * Conjugacy Action is Group Action