# Generic Polynomials: Constructive Aspects of the Inverse Galois Problem

@inproceedings{Jensen2002GenericPC, title={Generic Polynomials: Constructive Aspects of the Inverse Galois Problem}, author={Christian U. Jensen and Arne Ledet and 由井 典子}, year={2002} }

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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