---
tag: 0RN00NTM3S
kind: concept
name: Inner automorphism
msc: [20F28]
sources:
  - url: https://en.wikipedia.org/wiki/Inner_automorphism
    locator: Definition
same_as:
  wikidata: Q1139583
  wikipedia: Inner automorphism
---

## Summary

An inner automorphism of a group is the automorphism given by conjugation by a fixed element.
The inner automorphisms form a normal subgroup of the automorphism group.