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Galois Groups of Quadratics, Cubics, and Quartics

  • Joseph Rotman
Part of the Universitext book series (UTX)

Abstract

In this final section, we show how to compute Galois groups of polynomials of low degree over ℚ. Recall that the Galois group of a polynomial of degree n is a subgroup of S n (regarded as the group of all permutations of the roots; of course, some of these permutations may have nothing to do with field automorphisms!).

Keywords

Real Root Galois Group Division Algebra Galois Theory Irreducible Polynomial 
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. 1990

Authors and Affiliations

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

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