Definition:Conjugacy Class

Definition
The equivalence classes into which the conjugacy relation divides its group into are called conjugacy classes.

The conjugacy class of an element $x \in G$ can be denoted $\conjclass x$.

Also denoted as
Some authors use the notation $\operatorname {cl} \paren x$, but this can be confused with the notation for closure in the context of topology, so its use is not recommended.

Variants on the $\mathrm C$ motif can be seen: $C_x$ or $\map C x$ are fairly common.