Elements of Abstract Algebra and the Galois Group

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


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.


Symmetric Group Commutative Ring Integral Domain Galois Group Permutation Group 
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  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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