##  [Coset Enumeration](/coset-enumeration) 

  ##  [Coset Enumeration](https://puremath.quantumdictionary.io/coset-enumeration-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An algorithmic process, notably the Todd–Coxeter method, for listing or counting distinct (left or right) cosets of a subgroup H in an ambient group G given by a presentation; output may be a coset table, index, or permutation action on cosets.