# 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.