---
tag: 08MG7H8JW5
kind: concept
name: Group isomorphism
msc: [20A05]
sources:
  - url: https://en.wikipedia.org/wiki/Group_isomorphism
    locator: Definition and notation
same_as:
  wikidata: Q742064
  wikipedia: Group isomorphism
---

## Summary

A group isomorphism is a bijective group homomorphism.
Two isomorphic groups have the same structure, and differ only in the names of their elements.