Verwandte Artikel zu Inverse Galois Theory (Springer Monographs in Mathematics)
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A CONSISTENT AND NEAR COMPLETE SURVEY OF THE IMPORTANT PROGRESS MADE IN THE FIELD OVER THE LAST FEW YEARS, WITH THE MAIN EMPHASIS ON THE RIGIDITY METHOD AND ITS APPLICATIONS. AMONG OTHERS, THIS MONOGRAPH PRESENTS THE MOST SUCCESSFUL EXISTENCE THEOREMS KNOWN AND CONSTRUCTION METHODS FOR GALOIS EXTENSIONS AS WELL AS SOLUTIONS FOR 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)
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A consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.
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- VerlagSpringer
- Erscheinungsdatum2018
- ISBN 10 3662554194
- ISBN 13 9783662554197
- EinbandTapa dura
- Auflage2
- Anzahl der Seiten552
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Inverse Galois Theory
Verlag:
Springer Berlin Heidelberg
(2018)
ISBN 10: 3662554194
ISBN 13: 9783662554197
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This second edition addresses 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, as well as its finite epimorphic images, generally referred to as the inverse problem of Galois theory.In the past few years, important strides have been made in all of these areas. The aim of the book is to provide a systematic and extensive overview of these advances, with special emphasis on the rigidity method and its applications. Among others, the book presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems, together with a collection of the current Galois realizations.There have been two major developments since the first edition of this book was released. The first is the algebraization of the Katz algorithm for (linearly) rigid generating systems of finite groups; the second is the emergence of a modular Galois theory. The latter has led to new construction methods for additive polynomials with given Galois group over fields of positive characteristic. Both methods have their origin in the Galois theory of differential and difference equations. Artikel-Nr. 9783662554197
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