##  [Higher Ramification Group](/higher-ramification-group) 

  ##  [Higher Ramification Group](https://puremath.quantumdictionary.io/higher-ramification-group-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

One of the successive subgroups in the ramification filtration of the Galois group of a finite Galois extension of local fields, indexed either by integers (lower numbering) or by real numbers via the upper numbering; these subgroups measure increasingly refined levels of wild ramification beyond inertia and tame quotients.