##  [Todd–Coxeter Algorithm](/todd-coxeter-algorithm) 

  ##  [Todd–Coxeter Algorithm](https://algebra.quantumdictionary.io/todd-coxeter-algorithm-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A coset enumeration algorithm that computes the action of a finitely presented group on the cosets of a specified subgroup by building a coset table, identifying cosets via relators, and thereby determining the index of the subgroup and a permutation representation when the enumeration terminates finitely.