8. Solvability by Radicals

  1. David A. Cox

Published Online: 28 MAR 2012

DOI: 10.1002/9781118218457.ch8

Galois Theory, Second Edition

Galois Theory, Second Edition

How to Cite

Cox, D. A. (2012) Solvability by Radicals, in Galois Theory, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118218457.ch8

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:

  • solvable groups;
  • solvable extensions;
  • Galois closures;
  • Lagrange resolvents;
  • casus irreducbilis

Summary

This chapter contains sections titled:

  • Solvable Groups

  • Radical and Solvable Extensions

  • Solvable Extensions and Solvable Groups

  • Simple Groups

  • Solving Polynomials by Radicals

  • The Casus Irreducbilis (Optional)