---
tag: HRYZGA8V0K
kind: concept
name: Verbal subgroup
sources:
  - wikipedia: en:21674070@r1361555339
    locator: Verbal subgroup
    note: adopted
    mention: wikipedia://en/21674070
    sections: [Summary]
same_as:
  wikidata: Q7920943
  wikipedia: Verbal subgroup
inventory: [8BRYVJ85JK]
---

## Summary

In mathematics, in the area of abstract algebra known as group theory, a **verbal subgroup** is a [[subgroup|0X1JXT47GA]] of a group that is [[generated|0MBV2VHMXA]] by all elements that can be formed by substituting group elements for variables in a given set of words. For example, given the word $x^2$, the corresponding verbal subgroup is the group generated by all squares.