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ISBN 10: 3540628908
ISBN 13: 9783540628903
Author: Gunter Malle; B.H. Matzat
Inverse Galois Theory is concerned with the question of which finite groups occur as Galois Groups over a given field. In particular, this includes the question of the structure and the representations of the absolute Galois group of K and also the question about its finite epimorphic images, the so-called inverse problem of Galois theory. In all these areas important progress was made in the last few years. The aim of the book is to give a consistent and reasonably complete survey of these results, with the main emphasis on the rigidity method and its applications. Among others the monograph presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems combined with a collection of the existing Galois realizations.
Chapter 1: The Rigidity Method
Chapter 2: Applications of Rigidity
Chapter 3: Action of Braids
Chapter 4: Embedding Problems
Chapter 5: Rigid Analytic Methods
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Tags: Gunter Malle, Matzat, Inverse, Galois, Theory