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


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.


Inverse Problem Finite Field Galois Group Number Field Galois Theory 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

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

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