##  [Subgroup](/subgroup) 

  ##  [Subgroup](https://algebra.quantumdictionary.io/subgroup-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A subset of a group that itself forms a group under the same binary operation, inheriting the identity and inverses from the parent group.