Category:Conjugacy Action

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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:

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