##  [Derived Length](/derived-length) 

  ##  [Derived Length](https://puremath.quantumdictionary.io/derived-length-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The number of nontrivial successive derived subgroups (or commutator subalgebras) in the derived series required to reach the trivial subgroup (or zero subalgebra); it quantifies how many commutator-steps are needed and thus measures solvability.