---
tag: 00HF4RJ5QN
kind: concept
name: Direct product of groups
msc: ["20E34"]
sources:
  - url: https://en.wikipedia.org/wiki/Direct_product_of_groups
    locator: Definition
same_as:
  wikidata: Q2725924
  wikipedia: Direct product of groups
---

## Summary

The direct product of two groups $G$ and $H$ is the set $G \times H$ of ordered pairs, with the operation done in each component separately.
It is the simplest way to build a new group from two given groups.