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An Algebraic Postscript

  • Arthur Jones
  • Kenneth R. Pearson
  • Sidney A. Morris
Part of the Universitext book series (UTX)

Abstract

We have completed the proof that the three famous constructions are impossible. In this chapter we introduce some purely algebraic results which extend results in the earlier chapters. These new results will enable you to construct fields that you have not seen before.

Keywords

Ordinary Multiplication Boxed State Algebraic Result Early Chapter Division Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Additional Reading for Chapter 8

  1. [AC]
    A. Clark, Elements of Abstract Algebra, Wadsworth, Belmont, California, 1971.Google Scholar
  2. [JF]
    J.B. Fraleigh, A First Course in Abstract Algebra, 3rd edition, Addison-Wesley, Reading, Massachusetts, 1982.Google Scholar
  3. [WG]
    W.J. Gilbert, Modern Algebra with Applications, Wiley, New York, 1976.MATHGoogle Scholar
  4. [CH]
    C.R. Hadlock, Field Theory and its Classical Problems, Carus Mathematical Monographs, No. 19, Mathematical Association of America, 1978.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Arthur Jones
    • 1
  • Kenneth R. Pearson
    • 1
  • Sidney A. Morris
    • 2
  1. 1.Department of MathematicsLa Trobe UniversityBundooraAustralia
  2. 2.Faculty of InformaticsUniversity of WollongongWollongongAustralia

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