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Introduction

  • Helmut Koch
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Once the framework of Galois theory has been completed with the main theorem, the principal problem of the theory is the question: what are the possible normal extensions of a fixed base field k with given Galois group G. This problem is called the Inverse Problem of Galois Theory.

Keywords

Inverse Problem Finite Field Galois Group Number Field Galois Theory 
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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Helmut Koch
    • 1
  1. 1.Institut für MathematikHumboldt-Universität BerlinBerlinGermany

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