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Galois’s Great Theorem

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

Abstract

We prove the converse of Theorem 53 (which holds only in characteristic 0): solvability of the Galois group implies solvability by radicals of the polynomial. We begin with some lemmas; the first one has a quaint name signifying its use as a device to get around the possible absence of roots of unity in the ground field.

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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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