##  [Deck Transformation Group](/deck-transformation-group) 

  ##  [Deck Transformation Group](https://puremath.quantumdictionary.io/deck-transformation-group-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a covering p: C → X, the deck transformation group (or group of covering automorphisms) is the group of homeomorphisms g: C → C such that p ∘ g = p. Multiplication is composition of homeomorphisms. Elements permute fibers and preserve the covering structure.