 ##  [Conjugacy](/conjugacy) 

  ##  [Conjugacy](https://mathlogic.quantumdictionary.io/conjugacy-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A binary relation on the elements of a group (or an algebraic structure with invertible elements) in which two elements a and b are conjugate if there exists an invertible g with a = g b g^{-1}; equivalence classes under this relation are called conjugacy classes.