---
tag: 082DWWXMRJ
kind: concept
name: Finitely generated group
msc: [20F05]
sources:
  - url: https://en.wikipedia.org/wiki/Finitely_generated_group
    locator: lead section
same_as:
  wikidata: Q21083858
  wikipedia: Finitely generated group
---

## Summary

A finitely generated group is a group that a finite subset generates.
All finite groups and the group of integers are finitely generated.