# Category:Conjugacy Action

This category contains results about Conjugacy Action.
Definitions specific to this category can be found in Definitions/Conjugacy Action.

Let $\struct {G, \circ}$ be a group.

The (left) conjugacy action of $G$ is the left group action $* : G \times G \to G$ defined as:

$\forall g, x \in G: g * x = g \circ x \circ g^{-1}$

The right conjugacy action of $G$ is the right group action $* : G \times G \to G$ defined as:

$\forall x, g \in G: x * g = g^{-1} \circ x \circ g$

## Pages in category "Conjugacy Action"

The following 12 pages are in this category, out of 12 total.