Definition:Conjugate (Group Theory)/Element

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

Definition 2
This can be voiced as:
 * $x$ is the conjugate of $y$ (by $a$ in $G$)

or:
 * $x$ is conjugate to $y$ (by $a$ in $G$)

Also see

 * Equivalence of Definitions of Conjugate of Group Element


 * Conjugacy is Equivalence Relation
 * Definition:Conjugacy Class