##  [Erlangen Program](/erlangen-program) 

  ##  [Erlangen Program](https://puremath.quantumdictionary.io/erlangen-program-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A framework that classifies and characterizes geometries by their symmetry groups: a geometry is defined as the study of properties invariant under a chosen group of transformations acting on a space, so different choices of transformation groups produce distinct geometries.