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Normal Series

  • Joseph J. Rotman
Part of the Graduate Texts in Mathematics book series (GTM, volume 148)

Abstract

We begin this chapter with a brief history of the study of roots of polynomials. Mathematicians of the Middle Ages, and probably those in Babylonia, knew the quadratic formula giving the roots of a quadratic polynomial f(X) = X 2 + bX + c. Setting Open image in new window transforms f(X) into a polynomial g(x) with no x term:

Keywords

Normal Subgroup Finite Group Normal Series Maximal Subgroup Galois 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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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Joseph J. Rotman
    • 1
  1. 1.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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