10. Cyclic Extensions and Cyclotomic Fields

  1. Stephen C. Newman

Published Online: 23 MAY 2012

DOI: 10.1002/9781118336816.ch10

A Classical Introduction to Galois Theory

A Classical Introduction to Galois Theory

How to Cite

Newman, S. C. (2012) Cyclic Extensions and Cyclotomic Fields, in A Classical Introduction to Galois Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118336816.ch10

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

SEARCH

Keywords:

  • cyclic extensions and cyclotomic fields;
  • binomial polynomials and cyclotomic fields using Galois theory;
  • solvability of polynomials by radicals and cyclic extensions;
  • Galois theory of cyclotomic and Isomorphism Extension Theorem

Summary

This chapter contains sections titled:

  • Cyclic Extensions

  • Cyclotomic Fields