##  [Inner Automorphism](/index.php/inner-automorphism) 

  ##  [Inner Automorphism](https://algebra.quantumdictionary.io/inner-automorphism-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An automorphism of an algebraic object given by conjugation by a fixed invertible element of the ambient structure: for a group G and a ∈ G invertible, the map φ_a(g)=a g a^{-1} is an inner automorphism.