11. Galois's Criterion for Solvability of Polynomials by Radicals

  1. Stephen C. Newman

Published Online: 23 MAY 2012

DOI: 10.1002/9781118336816.ch11

A Classical Introduction to Galois Theory

A Classical Introduction to Galois Theory

How to Cite

Newman, S. C. (2012) Galois's Criterion for Solvability of Polynomials by Radicals, in A Classical Introduction to Galois Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118336816.ch11

Author Information

  1. University of Alberta, Edmonton, Alberta, Canada

Publication History

  1. Published Online: 23 MAY 2012
  2. Published Print: 13 JUL 2012

ISBN Information

Print ISBN: 9781118091395

Online ISBN: 9781118336816

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Keywords:

  • classical Galois, criterion for solvability of polynomials by radicals;
  • prime-irreducible radical extension with root of unity property;
  • proof of Theorem, based on Galois theory;
  • Galois's Mémoire, for solvability and “necessary” roots of unity;
  • the Impossibility Theorem, third and final version