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Elements of Abstract Algebra and the Galois Group

  • Richard L. Liboff
Chapter
Part of the Undergraduate Texts in Contemporary Physics book series (UTCP)

Abstract

In this final chapter we wish briefly to the describe applications of group theory to algebraic equations. This formalism is part of the general study of ‘abstract algebra.’ Our ultimate goal is to formulate Galois groups.

Keywords

Symmetric Group Commutative Ring Integral Domain Galois Group Permutation Group 
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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References

  1. 1.
    Georg Cantor (1845–1919).Google Scholar
  2. 2.
    The notion of congruences is due to Carl F. Gauss (1777–1855).Google Scholar
  3. 3.
    Sir John Wilson (1734–1793).Google Scholar
  4. 4.
    Named for F.G. Eisenstein (1823–1852).Google Scholar
  5. 5.
    For further discussion, see E.T. Bell, Men of Mathematics, Dover, New York, (1937).MATHGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 2004

Authors and Affiliations

  • Richard L. Liboff
    • 1
  1. 1.School of Electrical EngineeringCornell UniversityIthacaUSA

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