##  [Derived Series](/index.php/derived-series) 

  ##  [Derived Series](https://algebra.quantumdictionary.io/derived-series-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The sequence of subgroups (or substructures) defined recursively by G^{(0)} = G and G^{(n+1)} = [G^{(n)}, G^{(n)}], where each term is the subgroup generated by all commutators of the previous term; it measures solvability by iteratively removing commutator content.