6. The Galois Group

  1. David A. Cox

Published Online: 28 MAR 2012

DOI: 10.1002/9781118218457.ch6

Galois Theory, Second Edition

Galois Theory, Second Edition

How to Cite

Cox, D. A. (2012) The Galois Group, in Galois Theory, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118218457.ch6

Publication History

  1. Published Online: 28 MAR 2012
  2. Published Print: 12 MAR 2012

ISBN Information

Print ISBN: 9781118072059

Online ISBN: 9781118218457



  • Galois group;
  • splitting fields;
  • permutations of the roots;
  • pth roots;
  • Abelian equations


This chapter contains sections titled:

  • Definition of the Galois Group

  • Galois Groups of Splitting Fields

  • Permutations of the Roots

  • Examples of Galois Groups

  • Abelian Equations (Optional)