---
type: "concept"
title: "Conjugate elements"
slug: "conjugate-elements"
language: "en"
translationGroupId: "cmraeswlx0001um01na6gsza6"
domain: "Other"
status: "usable"
aliases: []
lastEditedBy: "ancient-tree"
---

Let $G$ be a [[Group|group]]. Two elements $a,b\in G$ are said to be conjugate if there exists some element $g\in G$ such that
$$b=g*a*g^{-1}$$