# Conjugacy class

Given an el­e­ment $$g$$ of a group $$G$$, the con­ju­gacy class of $$g$$ in $$G$$ is $$\{ x g x^{-1} : x \in G \}$$. It is the col­lec­tion of el­e­ments to which $$g$$ is con­ju­gate.

ex­am­ples class equa­tion it is the sta­bil­iser of a cer­tain ac­tion, which we can show con­di­tion­ally on the right requisites

Parents:

• Mathematics

Math­e­mat­ics is the study of num­bers and other ideal ob­jects that can be de­scribed by ax­ioms.