• Corpus ID: 140108503

Generic Polynomials: Constructive Aspects of the Inverse Galois Problem

  title={Generic Polynomials: Constructive Aspects of the Inverse Galois Problem},
  author={Christian U. Jensen and Arne Ledet and 由井 典子},
This book describes a constructive approach to the inverse Galois problem: Given a finite group G and a field K, determine whether there exists a Galois extension of K whose Galois group is isomorphic to G. Further, if there is such a Galois extension, find an explicit polynomial over K whose Galois group is the prescribed group G. The main theme of the book is an exposition of a family of �generic� polynomials for certain finite groups, which give all Galois extensions having the required… 
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