7. The Galois Correspondence

  1. David A. Cox

Published Online: 28 MAR 2012

DOI: 10.1002/9781118218457.ch7

Galois Theory, Second Edition

Galois Theory, Second Edition

How to Cite

Cox, D. A. (2012) The Galois Correspondence, in Galois Theory, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118218457.ch7

Publication History

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

ISBN Information

Print ISBN: 9781118072059

Online ISBN: 9781118218457

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Keywords:

  • Galois extensions;
  • splitting fields;
  • separable extensions;
  • normal extensions;
  • Galois theory

Summary

This chapter contains sections titled:

  • Galois Extensions

  • Normal Subgroups and Normal Extensions

  • The Fundamental Theorem of Galois Theory

  • First Applications

  • Automorphisms and Geometry (Optional)