---
tag: 0KVGH0J5B3
kind: concept
name: Cyclic group
aliases: [monogenous-group]
msc: [20A05]
sources:
  - url: https://en.wikipedia.org/wiki/Cyclic_group
    locator: Definition and notation
same_as:
  wikidata: Q245462
  wikipedia: Cyclic group
---

## Summary

A cyclic group is a group that one element generates.
Up to isomorphism, the cyclic groups are the integers and the integers modulo $n$ under addition.