Inverse Galois Theory - Malle, Gunter;Matzat, B.H.
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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…mehr

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Produktbeschreibung
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.
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"The book presents the fundamental methods, models and techniques of grey data analysis, providing readers an overall picture and most recent research results of grey systems theory and its applications in a comprehensive and systematic fashion. ... The book is written by distinguished experts in the field of grey systems theory and constitutes an up-to-date and complete guide on the subject. It can be recommended for a wide range of researchers and practitioners interested in the grey data exploration and processing." (Zygmunt Hasiewicz, zbMATH, 1406.93002, 2019)