---
tag: 0DXD4QSZ8A
kind: concept
name: Conjugate elements
msc: ["20E45"]
sources:
  - url: https://en.wikipedia.org/wiki/Conjugacy_class
    locator: Definition
---

## Summary

Two elements $a$ and $b$ of a group $G$ are conjugate when $b = gag^{-1}$ for some $g \in G$.
Conjugate elements play the same role in the group, up to a change of names given by $g$.