---
tag: 0JYTG5K9Y4
kind: concept
name: Group homomorphism
msc: [20A05]
sources:
  - url: https://en.wikipedia.org/wiki/Group_homomorphism
    locator: lead section
same_as:
  wikidata: Q868169
  wikipedia: Group homomorphism
---

## Summary

A group homomorphism is a map between groups that preserves the group operation.
It is the basic way to compare two groups.