Galois Groups of Quadratics, Cubics, and Quartics

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


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!).


Real Root Galois Group Division Algebra Galois Theory Irreducible Polynomial 
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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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