---
tag: 1AM149X0QF
kind: concept
name: Artin
sources:
  - wikipedia: en:55799101@r1351912484
    locator: Glossary of representation theory, section A
    note: adopted
    mention: wikipedia://en/55799101#VXOF
    sections: [Summary]
inventory: [AA0GGVMANR]
---

## Summary

Emil Artin.

Artin's theorem on induced characters states that a character on a finite group is a rational linear combination of characters induced from cyclic subgroups.

Artin representation is used in the definition of the Artin conductor.