4. Irreducibility and Factorization

  1. Stephen C. Newman

Published Online: 23 MAY 2012

DOI: 10.1002/9781118336816.ch4

A Classical Introduction to Galois Theory

A Classical Introduction to Galois Theory

How to Cite

Newman, S. C. (2012) Irreducibility and Factorization, in A Classical Introduction to Galois Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118336816.ch4

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:

  • polynomial, irreducibility and factorization;
  • irreducibility over rational numbers;
  • splitting fields, and solvability by radicals;
  • factorization and adjunction

Summary

This chapter contains sections titled:

  • Irreducibility Over the Rational Numbers

  • Irreducibility and Splitting Fields

  • Factorization and Adjunction