##  [Galois Group](/galois-group) 

  ##  [Galois Group](https://natural.quantumdictionary.io/galois-group-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The group of field automorphisms of a field extension E over a base field F that fix F pointwise; it encodes algebraic symmetries of the extension and of polynomial roots in E.