ENGLISH

Inverse Galois Theory

By Gunter Malle , B. Heinrich Matzat (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1999
ISBN
978-3-642-08311-2, 978-3-662-12123-8
DOI
10.1007/978-3-662-12123-8
Language
english
Format
PDF
Filesize
27 MB (28394834 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
437\449
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Group Theory and Generalizations; Topology

Description

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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